ACT Math Practice Question #1621 (Hard (660)) | Test Citadel
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ACT Math Difficulty: Hard (660)

Digital ACT Math Practice Question #1621

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A research committee of 4 scientists is to be formed from a department containing 6 chemists and 5 physicists. If the committee must consist of exactly 2 chemists and 2 physicists, how many distinct committees can be formed?
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Independent combinations multiply: binom(6,2) = 15, binom(5,2) = 10. 15 * 10 = 150.

Masterclass Solution & Distractor Trap Analysis

Number of ways to choose 2 chemists from 6: \(\binom{6}{2} = \frac{6 \times 5}{2 \times 1} = 15\). Number of ways to choose 2 physicists from 5: \(\binom{5}{2} = \frac{5 \times 4}{2 \times 1} = 10\). Total combinations = \(15 \times 10 = 15...

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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