Chapter 9.1, Problem 22E

Solution

To state: Whether permutation or combination is described in the situation: 4 actors are chosen to play the Beatles in a film biography

The given situation represents permutation.

Given information:

The given situation is: 4 actors are chosen to play the Beatles in a film biography

Explanation:

Number of actors to be selected: 4

It is said that 4 actors are to be selected. As it is known that every actor will perform his own role and no two actors can perform the same role in a biography.

Then it can be concluded that each actor will perform a different role, if one actor is selected for one role then he cannot be selected again for other actors’ role. It means order matters here.

Now note that while selecting the 4 actors order is considered and it is the case of permutation.

Since, order is considered in the given situation, therefore, it is a permutation.