A committee of 3 members is to be chosen from a group of 5 men and 4 women. If the committee must consist of exactly 1 woman, how many different committees can be formed?

A 20

B 30

C 40

D 60

✓ Correct Answer: Option C

To form the committee, we must choose 1 woman from 4, which is C(4,1) = 4 ways. We also must choose 2 men from 5, which is C(5,2) = (5*4)/(2*1) = 10 ways. The total number of different committees is the product of these combinations: 4 * 10 = 40.

💡 Why is C) the correct answer?

The correct answer to the question "A committee of 3 members is to be chosen from a group of 5 men and 4 women. If the committee must consist of exactly 1 woman, how many different committees can be formed?" is Option C: 40.

The other options — A) 20, B) 30, D) 60 — are incorrect for this GRE Exam Prep question. As explained above: To form the committee, we must choose 1 woman from 4, which is C(4,1) = 4 ways. We also must choose 2 men from 5, which is C(5,2) = (5*4)/(2*1) = 10 ways. The total number of different committees is …

📚 About This GRE Exam Prep Practice Question

This 3-level GRE 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 GRE Exam Prep practice test or use flashcards for spaced repetition review.

Practice GRE Exam Prep Quizzes → Browse All Questions Study Flashcards

A committee of 3 members is to be chosen from a group of 5 men and 4 women. If the committee must consist of exactly 1 woman, how many different committees can be formed?

✓ Correct Answer: Option C

📚 About This GRE Exam Prep Practice Question

Related GRE Exam Prep Questions