📊 GMAT Exam Prep

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

A 1/7
B 3/7
C 12/35
D 18/35

✓ Correct Answer: Option D

Total ways to choose 3 from 7 is C(7,3) = 35. Ways to choose 2 men from 4 is C(4,2) = 6. Ways to choose 1 woman from 3 is C(3,1) = 3. Favorable ways = 6 * 3 = 18. Probability = 18/35.

💡 Why is D) the correct answer?

The correct answer to the question "A committee of 3 people is to be chosen from a group of 4 men and 3 women. What is the probability that the committee will consist of exactly 2 men and 1 woman?" is Option D: 18/35.

The other options — A) 1/7, B) 3/7, C) 12/35 — are incorrect for this GMAT Exam Prep question. As explained above: Total ways to choose 3 from 7 is C(7,3) = 35. Ways to choose 2 men from 4 is C(4,2) = 6. Ways to choose 1 woman from 3 is C(3,1) = 3. Favorable ways = 6 * 3 = 18. Probability = 18/35.

📚 About This GMAT Exam Prep Practice Question

This 3-level GMAT Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GMAT Exam Prep practice test or use flashcards for spaced repetition review.

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