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Question

Determine the number of permutations of the letters of the word SIMPLETON taken all at a time.

A
362880
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B
432000
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C
514000
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D
645300
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Solution

The correct option is D 362880
There are 9 letters in the word SIMPLETON and all the 9 letters are different.
Hence the number of permutations taking all the letters at a time = 9P9=9!=362880.

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