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A committee of 3 people is to be selected from a group of 6 people. How many different committees can be formed?

GRE · 2022 · quant slot 2
Question:
A committee of 3 people is to be selected from a group of 6 people. How many different committees can be formed?

Options

(A) 18
(B) 20
(C) 24
(D) 30
(E) 36
Answer: (B) 20

Explanation:
Number of combinations = C(6,3) = 6!/(3!×3!) = (6×5×4)/(3×2×1) = 120/6 = 20.

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