ACT Math Practice Question #1232 (Medium (29)) | Test Citadel
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ACT Math Difficulty: Medium (29)

Digital ACT Math Practice Question #1232

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How many distinct four-letter arrangements can be formed using the letters in the word 'KIDNEY' if each letter may be used at most once in each arrangement?
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Four slots: $6 \times 5 \times 4 \times 3 = 30 \times 12 = 360$.

Masterclass Solution & Distractor Trap Analysis

The word 'KIDNEY' contains $6$ distinct letters ($K, I, D, N, E, Y$). Since the order of letters in an arrangement matters, we calculate permutations of $6$ items taken $4$ at a time: $$P(6, 4) = 6 \times 5 \times 4 \times 3 = 360.$$...

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

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