Respuestas
Son 120
5!
{1,2,3,4,5} {1,2,3,5,4} {1,2,4,3,5} {1,2,4,5,3} {1,2,5,3,4} {1,2,5,4,3} {1,3,2,4,5} {1,3,2,5,4} {1,3,4,2,5} {1,3,4,5,2} {1,3,5,2,4} {1,3,5,4,2} {1,4,2,3,5} {1,4,2,5,3} {1,4,3,2,5} {1,4,3,5,2} {1,4,5,2,3} {1,4,5,3,2} {1,5,2,3,4} {1,5,2,4,3} {1,5,3,2,4} {1,5,3,4,2} {1,5,4,2,3} {1,5,4,3,2} {2,1,3,4,5} {2,1,3,5,4} {2,1,4,3,5} {2,1,4,5,3} {2,1,5,3,4} {2,1,5,4,3} {2,3,1,4,5} {2,3,1,5,4} {2,3,4,1,5} {2,3,4,5,1} {2,3,5,1,4} {2,3,5,4,1} {2,4,1,3,5} {2,4,1,5,3} {2,4,3,1,5} {2,4,3,5,1} {2,4,5,1,3} {2,4,5,3,1} {2,5,1,3,4} {2,5,1,4,3} {2,5,3,1,4} {2,5,3,4,1} {2,5,4,1,3} {2,5,4,3,1} {3,1,2,4,5} {3,1,2,5,4} {3,1,4,2,5} {3,1,4,5,2} {3,1,5,2,4} {3,1,5,4,2} {3,2,1,4,5} {3,2,1,5,4} {3,2,4,1,5} {3,2,4,5,1} {3,2,5,1,4} {3,2,5,4,1} {3,4,1,2,5} {3,4,1,5,2} {3,4,2,1,5} {3,4,2,5,1} {3,4,5,1,2} {3,4,5,2,1} {3,5,1,2,4} {3,5,1,4,2} {3,5,2,1,4} {3,5,2,4,1} {3,5,4,1,2} {3,5,4,2,1} {4,1,2,3,5} {4,1,2,5,3} {4,1,3,2,5} {4,1,3,5,2} {4,1,5,2,3} {4,1,5,3,2} {4,2,1,3,5} {4,2,1,5,3} {4,2,3,1,5} {4,2,3,5,1} {4,2,5,1,3} {4,2,5,3,1} {4,3,1,2,5} {4,3,1,5,2} {4,3,2,1,5} {4,3,2,5,1} {4,3,5,1,2} {4,3,5,2,1} {4,5,1,2,3} {4,5,1,3,2} {4,5,2,1,3} {4,5,2,3,1} {4,5,3,1,2} {4,5,3,2,1} {5,1,2,3,4} {5,1,2,4,3} {5,1,3,2,4} {5,1,3,4,2} {5,1,4,2,3} {5,1,4,3,2} {5,2,1,3,4} {5,2,1,4,3} {5,2,3,1,4} {5,2,3,4,1} {5,2,4,1,3} {5,2,4,3,1} {5,3,1,2,4} {5,3,1,4,2} {5,3,2,1,4} {5,3,2,4,1} {5,3,4,1,2} {5,3,4,2,1} {5,4,1,2,3} {5,4,1,3,2} {5,4,2,1,3} {5,4,2,3,1} {5,4,3,1,2} {5,4,3,2,1}
listo >:v ahora quiero mis 5 estrellas que me esforcé jaja xd
El total de permutaciones que hay con los números 12345 es igual a 120 permutaciones
Permutación: es la manera de tomar de un conjunto de n elementos k de ellos, donde el orden de selección es relevante. La ecuación que cuenta la cantidad de permutaciones es:
Perm(n,k) = n!/(n-k)!
Tenemos que ordenar 5 elementos en conjuntos de 5 elementos, entonces el total de permutaciones es igual a:
Perm(5,5) = 5!/((5 - 5)!) = 5! = 120
Puedes visitar: https://brainly.lat/tarea/12181590