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A committee of 3 people must be selected from a group of 7 people. How many different committees can be formed?

GRE · 2021 · quant slot 2
Question:
A committee of 3 people must be selected from a group of 7 people. How many different committees can be formed?

Options

(A) 21
(B) 28
(C) 35
(D) 42
(E) 210
Answer: (C) 35

Explanation:
Using combination formula: C(7,3) = 7!/(3!×4!) = (7×6×5)/(3×2×1) = 210/6 = 35.

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