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Question

The number of distinct permutation of letters of the word STATISTICS that begin and end with the letter S is

A
5040
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B
4280
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C
3360
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D
1680
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Solution

The correct option is A 3360
Number of letters in the word STATISTICS=10.
We know after fixing two Ss (one in the begining and the other in the end), the number of remaining letters =102=8.
Since the remaining letters have three Ts and two Is therefore, the number of distinct permutations
=8!3!×2!=8×6×5×4×33×2=3360

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