ACT Math Practice Question #2092 (Hard) | Test Citadel
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ACT Math Difficulty: Hard

Digital ACT Math Practice Question #2092

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

A school club has 7 seniors and 5 juniors. A delegation consisting of 3 seniors and 2 juniors must be selected. How many distinct delegations can be formed?
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Break independent selections into stages: (Seniors) * (Juniors) = 35 * 10 = 350.

Masterclass Solution & Distractor Trap Analysis

Select seniors and juniors independently using the fundamental counting principle: $_7C_3 \times _5C_2 = \frac{7 \times 6 \times 5}{3 \times 2 \times 1} \times \frac{5 \times 4}{2 \times 1} = 35 \times 10 = 350$....

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

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