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How many different three letter permutations can be formed from the letters in the word clipboard

1 Answer

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Explanation:

"clipboard" contains 9 different letters (no repetitions).

we are asked for the permutations, so the sequence (or order) of the selected letters matters (e.g. "lod" is different to "dol").

P(9, 3) = 9!/(9-3)! = 9!/6! = 9×8×7 = 504

504 different 3-letter permutations can be formed.

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