Arithmetic Ability
Permutations and Combinations

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Q.

The number of permutations of the letters of the word 'MESMERISE' is  ?

View Answer

Correct choice: A

Explanation:

n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways. The letter pattern 'MESMERISE' consists of 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R. Number of arrangements = 9!/(2!)2×3!
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