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

56 ways

Step-by-step explanation:

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

`C_(n,k)=(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)=(8!)/(5!(8-5)!)=56 ways`