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Alenkinab [10]
3 years ago
9

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?
Health
1 answer:
8090 [49]3 years ago
8 0

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

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