🧠 GRE Exam Prep

A committee of 3 people is to be chosen from a group of 5 men and 4 women. What is the probability that the committee will consist of exactly 2 men and 1 woman?

A 10/21
B 5/14
C 3/7
D 2/9

✓ Correct Answer: Option A

Total ways to choose 3 from 9 people is C(9,3) = 84. Ways to choose 2 men from 5 is C(5,2) = 10. Ways to choose 1 woman from 4 is C(4,1) = 4. Favorable outcomes = 10 * 4 = 40. Probability = 40/84 = 10/21.

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