﻿125:@0.911172:0.510692:0.939532:0.510692:0.939532:0.494068:0.911172:0.494068:0.000000:0.000000:0.000000
b) :@0.153344:0.100407:0.173375:0.100407:0.173375:0.083506:0.153344:0.083506:0.000000:0.000000:0.000000
En un salón de clase de 30 estudiantes se va a formar una comisión de 4 estudiantes. ¿De cuántas :@0.186587:0.100407:0.889806:0.100407:0.889806:0.084018:0.186587:0.084018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formas se puede formar esa comisión?:@0.186587:0.117003:0.468066:0.117003:0.468066:0.100614:0.186587:0.100614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153344:0.214133:0.157158:0.214133:0.157158:0.197233:0.153344:0.197233:0.000000
 R.:@0.187422:0.209092:0.207766:0.209092:0.207766:0.190655:0.187422:0.190655:0.000000:0.000000:0.000000
c)  :@0.153344:0.243201:0.174794:0.243201:0.174794:0.226300:0.153344:0.226300:0.000000:0.000000:0.000000:0.000000
¿Cuántos números distintos de 3 cifras diferentes se pueden formar con los dígitos 4, 8 y 9?:@0.186587:0.243201:0.851226:0.243201:0.851226:0.226812:0.186587:0.226812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153344:0.340331:0.157158:0.340331:0.157158:0.323431:0.153344:0.323431:0.000000
 R.:@0.187422:0.335289:0.207766:0.335289:0.207766:0.316852:0.187422:0.316852:0.000000:0.000000:0.000000
d)  :@0.153344:0.369399:0.177226:0.369399:0.177226:0.352498:0.153344:0.352498:0.000000:0.000000:0.000000:0.000000
¿De cuántas maneras distintas se pueden sentar 8 personas en una fila de butacas? :@0.186587:0.369399:0.797869:0.369399:0.797869:0.353010:0.186587:0.353010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153344:0.466529:0.157158:0.466529:0.157158:0.449628:0.153344:0.449628:0.000000
 R.:@0.187422:0.461489:0.207766:0.461489:0.207766:0.443051:0.187422:0.443051:0.000000:0.000000:0.000000
e)  :@0.153344:0.495598:0.176028:0.495598:0.176028:0.478697:0.153344:0.478697:0.000000:0.000000:0.000000:0.000000
¿De cuántas maneras distintas se pueden sentar 10 personas en una fila de butacas, si una de :@0.186587:0.495598:0.889768:0.495598:0.889768:0.479209:0.186587:0.479209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ellas siempre está al final de la fila?:@0.186587:0.512194:0.438585:0.512194:0.438585:0.495805:0.186587:0.495805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153344:0.609325:0.157158:0.609325:0.157158:0.592424:0.153344:0.592424:0.000000
 R.:@0.187422:0.604283:0.207766:0.604283:0.207766:0.585846:0.187422:0.585846:0.000000:0.000000:0.000000
f)  :@0.153344:0.638392:0.173983:0.638392:0.173983:0.621491:0.153344:0.621491:0.000000:0.000000:0.000000:0.000000
¿Cuántos números de tres cifras diferentes se pueden formar con los dígitos: 1, 2, 3, 4, 5, 6,?:@0.186587:0.638392:0.848689:0.638392:0.848689:0.622003:0.186587:0.622003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153344:0.735522:0.157158:0.735522:0.157158:0.718622:0.153344:0.718622:0.000000
 R.:@0.187422:0.730482:0.207766:0.730482:0.207766:0.712045:0.187422:0.712045:0.000000:0.000000:0.000000
g)  :@0.153344:0.764591:0.177079:0.764591:0.177079:0.747690:0.153344:0.747690:0.000000:0.000000:0.000000:0.000000
¿Cuantos números pares de tres cifras se pueden formar usando las cifras 0, 1, 2, 3, 4, 5 y 6, si estas :@0.186587:0.764591:0.889933:0.764591:0.889933:0.748202:0.186587:0.748202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pueden repetirse?:@0.186587:0.781188:0.319451:0.781188:0.319451:0.764799:0.186587:0.764799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153344:0.878318:0.157158:0.878318:0.157158:0.861417:0.153344:0.861417:0.000000
 R.:@0.187422:0.873276:0.207766:0.873276:0.207766:0.854839:0.187422:0.854839:0.000000:0.000000:0.000000
freepik.es, (2021). :@0.901121:0.606474:0.901121:0.544788:0.887225:0.544788:0.887225:0.606474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.222101:0.335630:0.231093:0.335630:0.231093:0.319241:0.222101:0.319241:0.000000
40 320:@0.222101:0.461417:0.271100:0.461417:0.271100:0.445028:0.222101:0.445028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 628 800:@0.222101:0.602929:0.293121:0.602929:0.293121:0.586540:0.222101:0.586540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
120:@0.222101:0.729033:0.249079:0.729033:0.249079:0.712644:0.222101:0.712644:0.000000:0.000000:0.000000
168:@0.222101:0.872011:0.249079:0.872011:0.249079:0.855622:0.222101:0.855622:0.000000:0.000000:0.000000
27 405:@0.222101:0.208585:0.271100:0.208585:0.271100:0.192196:0.222101:0.192196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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