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

Answer:

The roles can be assigned in 15120 ways.

Step-by-step 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:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this question:

5 people chosen from a set of 9. So

$P_{(9,5)} = \frac{9!}{(9-5)!} = 15120$

The roles can be assigned in 15120 ways.