5) La familia escobar tiene 5 miembros en total. Los padres
deciden ir con todos sus hijos a un estudio fotográfico para
tomarse una foto familiar; al posar la foto, ¿De cuántas maneras
diferentes podrían ordenarse todos ellos en una misma fila, de
tal forma que los padres se ubiquen en los extremos de la fila?



Answer :

Final answer:

The total number of ways to arrange the family members in a line, with parents at the ends, is 12.


Explanation:

When arranging the family members in a line, with parents at the ends, consider the following:

  1. There are 2 ways to arrange the parents at the extreme ends.
  2. For the 3 children in between them, there are 3! = 6 ways to arrange them.
  3. Therefore, the total number of ways to arrange the family members in a line with parents at the extremities is 2 * 3! = 12 ways.

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