Question

the drama club is holding auditions for 5 different parts in a one-act play. if 9 people audition, how many ways can the roles be assigned?

Answer 1

The roles can be assigned in 15120 ways.

Explanation:

The parts, which means that the order in which the people are selected is important. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

`P_((n,x)) = (n!)/((n-x)!)`

In this question:

5 people chosen from a set of 9. So

`P_((9,5)) = (9!)/((9-5)!) = 15120`

The roles can be assigned in 15120 ways.