235:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Permutaciones: :@0.105298:0.111098:0.229850:0.111098:0.229850:0.094197:0.105298:0.094197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son variaciones en las que todos los elementos son tomados en :@0.231158:0.111098:0.707058:0.111098:0.707058:0.094709:0.231158:0.094709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuenta, importa el orden y no se repiten los elementos. Se las calcula con la fórmula: :@0.105298:0.127694:0.707091:0.127694:0.707091:0.111305:0.105298:0.111305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.379024:0.151253:0.388274:0.151253:0.393079:0.134864:0.383828:0.134864:0.000000
n:@0.409171:0.151253:0.419049:0.151253:0.423853:0.134864:0.413976:0.134864:0.000000
!:@0.421597:0.151295:0.425411:0.151295:0.425411:0.134906:0.421597:0.134906:0.000000
n:@0.386945:0.153253:0.392669:0.153253:0.395453:0.143755:0.389729:0.143755:0.000000
=:@0.398301:0.151972:0.408418:0.151972:0.408418:0.136400:0.398301:0.136400:0.000000
Ejemplos::@0.095793:0.191389:0.166149:0.191389:0.166149:0.174751:0.095793:0.174751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.095793:0.211553:0.114515:0.211553:0.114515:0.194653:0.095793:0.194653:0.000000:0.000000:0.000000
¿Cuántos números de cinco cifras diferentes se pueden formar con 1, 2, 3, 4 y 5?:@0.119528:0.211553:0.702631:0.211553:0.702631:0.195165:0.119528:0.195165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.095793:0.239007:0.159571:0.239007:0.159571:0.222369:0.095793:0.222369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Todos los elementos serán considerados para formar los números solicitados.:@0.095793:0.259171:0.712435:0.259171:0.712435:0.242782:0.095793:0.242782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El orden cuenta y, al decirnos cifras diferentes, se nos indica que no se deben repetir. :@0.095793:0.275768:0.716531:0.275768:0.716531:0.259379:0.095793:0.259379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por lo tanto, se trata de una permutación.:@0.095793:0.292364:0.398887:0.292364:0.398887:0.275975:0.095793:0.275975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.114902:0.319139:0.125019:0.319139:0.125019:0.303567:0.114902:0.303567:0.000000
= ×× ×× =:@0.143907:0.319139:0.273030:0.319139:0.273030:0.303567:0.143907:0.303567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.098428:0.318462:0.107199:0.318462:0.107199:0.302101:0.098428:0.302101:0.000000
5! 54 32 1 120`:@0.128317:0.318462:0.307809:0.318458:0.307809:0.302069:0.128317:0.302073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.105067:0.320462:0.110278:0.320462:0.110278:0.310964:0.105067:0.310964:0.000000
Se pueden formar 120 números.:@0.095800:0.343122:0.331652:0.343122:0.331652:0.326734:0.095800:0.326734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.095800:0.366841:0.113841:0.366841:0.113841:0.349941:0.095800:0.349941:0.000000:0.000000:0.000000
Con las letras de la palabra :@0.119535:0.366841:0.327878:0.366841:0.327878:0.350453:0.119535:0.350453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
brincos:@0.329813:0.366841:0.380765:0.366841:0.380765:0.350480:0.329813:0.350480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, ¿cuántas ordenaciones distintas se pueden :@0.380765:0.366841:0.716517:0.366841:0.716517:0.350453:0.380765:0.350453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacer que empiecen por vocal?:@0.119535:0.383438:0.350172:0.383438:0.350172:0.367049:0.119535:0.367049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.095800:0.410891:0.159578:0.410891:0.159578:0.394253:0.095800:0.394253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La palabra que debe formarse empezará por   u   seguida de las 5 letras restantes :@0.095800:0.431056:0.716515:0.431056:0.716515:0.414667:0.095800:0.414667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.435199:0.431056:0.438995:0.431056:0.438995:0.414694:0.435199:0.414694:0.000000
o:@0.459763:0.431056:0.468976:0.431056:0.468976:0.414694:0.459763:0.414694:0.000000
tomadas de 5 en 5. En este caso, calculamos una permutación para las vocales :@0.095800:0.447652:0.716590:0.447652:0.716590:0.431263:0.095800:0.431263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y otra para las 5 letras restantes. El resultado final será el producto de las :@0.095800:0.464248:0.716460:0.464248:0.716460:0.447859:0.095800:0.447859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 permutaciones. :@0.095800:0.480845:0.227040:0.480845:0.227040:0.464456:0.095800:0.464456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.111445:0.511188:0.121562:0.511188:0.121562:0.495615:0.111445:0.495615:0.000000
⋅ =× =:@0.140248:0.511188:0.227982:0.511188:0.227982:0.495615:0.140248:0.495615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
× ⋅× ×× ×=:@0.247920:0.511188:0.405034:0.511188:0.405034:0.495615:0.247920:0.495615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PP P:@0.098399:0.510511:0.154971:0.510511:0.154971:0.494149:0.098399:0.494149:0.000000:0.000000:0.000000:0.000000
2! 5! (2 1) (5 43 21) 240:@0.176089:0.510511:0.434869:0.510511:0.434869:0.494122:0.176089:0.494122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.131504:0.512509:0.136715:0.512509:0.136715:0.503011:0.131504:0.503011:0.000000
5:@0.152863:0.512509:0.158075:0.512509:0.158075:0.503011:0.152863:0.503011:0.000000
Se pueden hacer 240 ordenaciones diferentes:@0.095800:0.535171:0.431712:0.535171:0.431712:0.518783:0.095800:0.518783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Combinaciones::@0.105298:0.580026:0.232725:0.580026:0.232725:0.563125:0.105298:0.563125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se llaman combinaciones de :@0.232725:0.580026:0.472395:0.580026:0.472395:0.563637:0.232725:0.563637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.477960:0.580026:0.492591:0.580026:0.492591:0.563664:0.477960:0.563664:0.000000
 elementos tomados de :@0.492591:0.580026:0.687887:0.580026:0.687887:0.563637:0.492591:0.563637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.693453:0.580026:0.702961:0.580026:0.702961:0.563664:0.693453:0.563664:0.000000
en   (  ≥  ) a todas las agrupaciones posibles que pueden hacerse con los   ele-:@0.105298:0.596622:0.702998:0.596622:0.702998:0.580233:0.105298:0.580233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n m:@0.128001:0.596622:0.160912:0.596622:0.160912:0.580261:0.128001:0.580261:0.000000:0.000000:0.000000
n:@0.179672:0.596622:0.189180:0.596622:0.189180:0.580261:0.179672:0.580261:0.000000
m:@0.656726:0.596622:0.671358:0.596622:0.671358:0.580261:0.656726:0.580261:0.000000
mentos, de forma que no entran todos los elementos, no importa el orden :@0.105298:0.613218:0.706956:0.613218:0.706956:0.596829:0.105298:0.596829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y no se repiten los elementos. Las combinaciones se calculan con la fórmula::@0.105298:0.629815:0.664794:0.629815:0.664794:0.613426:0.105298:0.613426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.344682:0.667515:0.360438:0.667515:0.367644:0.642932:0.351888:0.642932:0.000000
m:@0.415445:0.652787:0.430537:0.652787:0.435342:0.636398:0.420249:0.636398:0.000000
mn:@0.409893:0.672232:0.448886:0.672232:0.453690:0.655843:0.414697:0.655843:0.000000:0.000000
!:@0.433241:0.652825:0.437056:0.652825:0.437056:0.636436:0.433241:0.636436:0.000000
n!(:@0.392922:0.672270:0.410833:0.672270:0.410833:0.655881:0.392922:0.655881:0.000000:0.000000:0.000000
)!:@0.451393:0.672270:0.460496:0.672270:0.460496:0.655881:0.451393:0.655881:0.000000:0.000000
m:@0.366668:0.664840:0.375415:0.664840:0.378199:0.655342:0.369452:0.655342:0.000000
n:@0.366661:0.652040:0.372385:0.652040:0.375169:0.642542:0.369445:0.642542:0.000000
=:@0.379582:0.662038:0.389698:0.662038:0.389698:0.646465:0.379582:0.646465:0.000000
−:@0.428894:0.672950:0.439011:0.672950:0.439011:0.657377:0.428894:0.657377:0.000000
Ejemplo::@0.095796:0.718770:0.159279:0.718770:0.159279:0.702132:0.095796:0.702132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A una reunión asisten 20 personas que intercambian saludos entre ellas. ¿Cuántos :@0.095796:0.738935:0.716459:0.738935:0.716459:0.722546:0.095796:0.722546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saludos se realizaron?:@0.095796:0.755531:0.253332:0.755531:0.253332:0.739142:0.095796:0.739142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.095796:0.778157:0.159574:0.778157:0.159574:0.761520:0.095796:0.761520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Están presentes 20 personas, pero los saludos se hacen de dos en dos, no importa :@0.095796:0.801876:0.716490:0.801876:0.716490:0.785487:0.095796:0.785487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
quién saluda primero y una misma persona no se puede saludar a sí misma. Entonces, :@0.095796:0.818473:0.716455:0.818473:0.716455:0.802084:0.095796:0.802084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se trata de una combinación. Al aplicar la fórmula, obtenemos::@0.095796:0.835069:0.552647:0.835069:0.552647:0.818680:0.095796:0.818680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.130090:0.872324:0.140207:0.872324:0.140207:0.856751:0.130090:0.856751:0.000000
−:@0.184170:0.882815:0.194287:0.882815:0.194287:0.867242:0.184170:0.867242:0.000000
=:@0.219821:0.872324:0.229938:0.872324:0.229938:0.856751:0.219821:0.856751:0.000000
×:@0.255202:0.863362:0.265319:0.863362:0.265319:0.847789:0.255202:0.847789:0.000000
×:@0.287450:0.863362:0.297567:0.863362:0.297567:0.847789:0.287450:0.847789:0.000000
××:@0.256570:0.882815:0.287050:0.882815:0.287050:0.867242:0.256570:0.867242:0.000000:0.000000
=:@0.325832:0.872324:0.335948:0.872324:0.335948:0.856751:0.325832:0.856751:0.000000
×:@0.358596:0.872324:0.368713:0.872324:0.368713:0.856751:0.358596:0.856751:0.000000
=:@0.391360:0.872324:0.401477:0.872324:0.401477:0.856751:0.391360:0.856751:0.000000
C:@0.097999:0.877423:0.112870:0.877423:0.112870:0.852881:0.097999:0.852881:0.000000
20!:@0.169039:0.862688:0.191539:0.862688:0.191539:0.846299:0.169039:0.846299:0.000000:0.000000:0.000000
2!(202)!:@0.144954:0.882134:0.215680:0.882134:0.215680:0.865745:0.144954:0.865745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20 19 18!:@0.234697:0.862688:0.321694:0.862688:0.321694:0.846299:0.234697:0.846299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
21 18!:@0.245219:0.882134:0.311172:0.882134:0.311172:0.865745:0.245219:0.865745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10 19 190:@0.338094:0.871636:0.430214:0.871636:0.430214:0.855248:0.338094:0.855248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20:@0.116322:0.875026:0.126606:0.875026:0.126606:0.865528:0.116322:0.865528:0.000000:0.000000
2:@0.116322:0.862217:0.121534:0.862217:0.121534:0.852719:0.116322:0.852719:0.000000
Se realizaron 190 saludos.:@0.095800:0.906004:0.282102:0.906004:0.282102:0.889615:0.095800:0.889615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Permutaciones :@0.755005:0.149045:0.866626:0.149045:0.866626:0.133681:0.755005:0.133681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con repetición:@0.755005:0.164133:0.858786:0.164133:0.858786:0.148769:0.755005:0.148769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Son variaciones :@0.755005:0.182779:0.862671:0.182779:0.862671:0.167880:0.755005:0.167880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en las que se toman :@0.755005:0.197866:0.892624:0.197866:0.892624:0.182967:0.755005:0.182967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todos los elementos. :@0.755005:0.212954:0.896577:0.212954:0.896577:0.198055:0.755005:0.198055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El orden sí importa :@0.755005:0.228042:0.884164:0.228042:0.884164:0.213143:0.755005:0.213143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y no se pueden repetir :@0.755005:0.243129:0.909343:0.243129:0.909343:0.228230:0.755005:0.228230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los elementos. Se calcula :@0.755005:0.258217:0.924118:0.258217:0.924118:0.243318:0.755005:0.243318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mediante la fórmula::@0.755005:0.273305:0.892540:0.273305:0.892540:0.258406:0.755005:0.258406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PR:@0.755005:0.296966:0.773561:0.296966:0.773561:0.280577:0.755005:0.280577:0.000000:0.000000
a,b,c:@0.773561:0.290918:0.792512:0.290918:0.792512:0.281380:0.773561:0.281380:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.792513:0.296966:0.811070:0.296966:0.811070:0.280577:0.792513:0.280577:0.000000:0.000000:0.000000
      n!      :@0.810566:0.289580:0.871561:0.289580:0.871561:0.273191:0.810566:0.273191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a! . b! . c!:@0.810566:0.306771:0.868815:0.306771:0.868815:0.290382:0.810566:0.290382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.773526:0.298269:0.779070:0.298269:0.779070:0.288730:0.773526:0.288730:0.000000
donde::@0.755005:0.329264:0.802163:0.329264:0.802163:0.314365:0.755005:0.314365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.755005:0.347910:0.768306:0.347910:0.768306:0.333036:0.755005:0.333036:0.000000
 = número total de :@0.768306:0.347910:0.897583:0.347910:0.897583:0.333011:0.768306:0.333011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elementos del conjunto.:@0.755005:0.362998:0.917416:0.362998:0.917416:0.348099:0.755005:0.348099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n :@0.755005:0.381644:0.766664:0.381644:0.766664:0.366770:0.755005:0.366770:0.000000:0.000000
= elementos :@0.766664:0.381644:0.854847:0.381644:0.854847:0.366745:0.766664:0.366745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se toman.:@0.755005:0.396731:0.850022:0.396731:0.850022:0.381832:0.755005:0.381832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b, c:@0.755005:0.415377:0.790587:0.415377:0.790587:0.400503:0.755005:0.400503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: elementos :@0.790587:0.415377:0.871700:0.415377:0.871700:0.400478:0.790587:0.400478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se repiten.:@0.755005:0.430465:0.853540:0.430465:0.853540:0.415566:0.755005:0.415566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775870:0.116602:0.883411:0.116602:0.883411:0.099701:0.775870:0.099701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Amplía tu conocimiento :@0.755425:0.516609:0.914456:0.516609:0.914456:0.501710:0.755425:0.501710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre permutaciones, para :@0.755425:0.531696:0.929382:0.531696:0.929382:0.516797:0.755425:0.516797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esto puedes utilizar el :@0.755425:0.546784:0.900300:0.546784:0.900300:0.531885:0.755425:0.531885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente enlace::@0.755425:0.561871:0.867430:0.561871:0.867430:0.546972:0.755425:0.546972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/9mt34:@0.755425:0.580517:0.850579:0.580517:0.850579:0.565392:0.755425:0.565392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.807197:0.484168:0.857667:0.484168:0.857667:0.467267:0.807197:0.467267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se recurre a las :@0.755539:0.744233:0.858397:0.744233:0.858397:0.729334:0.755539:0.729334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
combinaciones para :@0.755539:0.759321:0.894952:0.759321:0.894952:0.744422:0.755539:0.744422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
configurar (o crear) :@0.755539:0.774408:0.885923:0.774408:0.885923:0.759509:0.755539:0.759509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las contraseñas que :@0.755539:0.789496:0.890346:0.789496:0.890346:0.774597:0.755539:0.774597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se utilizan en correos :@0.755539:0.804583:0.899139:0.804583:0.899139:0.789684:0.755539:0.789684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
electrónicos, cuentas :@0.755539:0.819671:0.899524:0.819671:0.899524:0.804772:0.755539:0.804772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bancarias y otros sitios. :@0.755539:0.834759:0.911234:0.834759:0.911234:0.819860:0.755539:0.819860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estas deben tener una :@0.755539:0.849846:0.907616:0.849846:0.907616:0.834947:0.755539:0.834947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
combinación de letras, :@0.755539:0.864934:0.910463:0.864934:0.910463:0.850035:0.755539:0.850035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números y símbolos.:@0.755539:0.880021:0.892957:0.880021:0.892957:0.865122:0.755539:0.865122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplifica una contraseña :@0.755539:0.898667:0.930968:0.898667:0.930968:0.883793:0.755539:0.883793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
improbable de ser descifrada.:@0.755539:0.913755:0.931238:0.913755:0.931238:0.898881:0.755539:0.898881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.762144:0.711792:0.898205:0.711792:0.898205:0.694891:0.762144:0.694891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000