Question

At a high school, 8 students volunteer for a committee. If 5 of the 8 volunteers are chosen for the committee, how many 5-person committees can be chosen?

Answer 1

Answer:

56 ways

Explanation:

Combinations are indistinguishable, combinations can be represented by the formula:

$C_{n,k}=\frac{n!}{k!(n-k)!}$

Where n represents the total number of items, and k represents the number of items being chosen at a time.

Therefore to choose 5 of the 8 volunteers for a committee, the number of 5 person committees that can be chosen =  $C_{8,5}=\frac{8!}{5!(8-5)!}=56 ways$