How many distinct 3-letter arrangements can be formed from the letters A, B, C without repetition?

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Multiple Choice

How many distinct 3-letter arrangements can be formed from the letters A, B, C without repetition?

Explanation:
Order matters when forming three-letter arrangements and you can’t reuse letters. For the first letter you have 3 choices (A, B, or C). After picking one, there are 2 choices left for the second letter, and then 1 remaining choice for the third. So the total is 3 × 2 × 1 = 6. The six arrangements are ABC, ACB, BAC, BCA, CAB, and CBA.

Order matters when forming three-letter arrangements and you can’t reuse letters. For the first letter you have 3 choices (A, B, or C). After picking one, there are 2 choices left for the second letter, and then 1 remaining choice for the third. So the total is 3 × 2 × 1 = 6. The six arrangements are ABC, ACB, BAC, BCA, CAB, and CBA.

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