Answer:
42,504 ways to choose a team.
Step-by-step explanation:
The order in which the students are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Sam
And 5 students from the remaining 24.
Then
[tex]C_{24,5} = \frac{24!}{5!(24-5)!} = 42504[/tex]
42,504 ways to choose a team.
