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?

Verified 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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