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:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
5 people chosen from a set of 9. So
[tex]P_{(9,5)} = \frac{9!}{(9-5)!} = 15120[/tex]
The roles can be assigned in 15120 ways.
