Answer:
1260 ways
Step-by-step explanation:
We want to arrange n people into x roles.
[tex]m_{0}[/tex] is the number of people for the first role.
[tex]m_{1}[/tex] is the number of people for the second role.
[tex]m_{x}[/tex] is the number of people for the xth role.
The total number of arrangents is:
[tex]T = \frac{n!}{m_{0}!m_{1}!...m_{x}!}[/tex]
In this question:
9 people
Team of 4
Team of 3
Team of 2
How many ways:
[tex]T = \frac{9!}{4!3!2!} = 1260[/tex]
