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Question: How many words can be made from the letters of the word ‘COMMITTEE’...

How many words can be made from the letters of the word ‘COMMITTEE’

A

9!(2!)2\frac{9!}{(2!)^{2}}

B

9!(2!)3\frac{9!}{(2!)^{3}}

C

9!2!\frac{9!}{2!}

D

9 !

Answer

9!(2!)3\frac{9!}{(2!)^{3}}

Explanation

Solution

Number of words = 9!2!2!2!=9!(2!)3\frac{9!}{2!2!2!} = \frac{9!}{(2!)^{3}} [Since here total number of letters is 9 and 2M’s, 2T’s and 2E’s