📊 GMAT Exam Prep

A committee of 5 members is to be formed from a group of 8 engineers and 6 scientists. If the committee must consist of exactly 3 engineers and 2 scientists, how many different committees can be formed?

A 280
B 840
C 1,344
D 1,680

✓ Correct Answer: Option B

The number of ways to choose 3 engineers from 8 is C(8, 3) = 56. The number of ways to choose 2 scientists from 6 is C(6, 2) = 15. The total number of different committees is the product of these combinations: 56 * 15 = 840.

💡 Why is B) the correct answer?

The correct answer to the question "A committee of 5 members is to be formed from a group of 8 engineers and 6 scientists. If the committee must consist of exactly 3 engineers and 2 scientists, how many different committees can be formed?" is Option B: 840.

The other options — A) 280, C) 1,344, D) 1,680 — are incorrect for this GMAT Exam Prep question. As explained above: The number of ways to choose 3 engineers from 8 is C(8, 3) = 56. The number of ways to choose 2 scientists from 6 is C(6, 2) = 15. The total number of different committees is the product of these com…

📚 About This GMAT Exam Prep Practice Question

This 3-level GMAT Exam Prep question from the Data Insights 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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