From the letters A, B, C, how many distinct 3-letter arrangements without repetition exist?

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Multiple Choice

From the letters A, B, C, how many distinct 3-letter arrangements without repetition exist?

Explanation:
Arrangements where order matters and you can’t reuse a letter are a permutation without repetition. With three distinct letters and three positions, you have 3 choices for the first position, 2 for the second, and 1 for the third. Multiply to get 3 × 2 × 1 = 6. Examples include ABC, ACB, BAC, BCA, CAB, CBA. Therefore, there are six distinct 3-letter arrangements.

Arrangements where order matters and you can’t reuse a letter are a permutation without repetition. With three distinct letters and three positions, you have 3 choices for the first position, 2 for the second, and 1 for the third. Multiply to get 3 × 2 × 1 = 6. Examples include ABC, ACB, BAC, BCA, CAB, CBA. Therefore, there are six distinct 3-letter arrangements.

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