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Question
Write the number of words that can be formed out of the letters of the word 'COMMITTEE' ?
Solution
The word COMMITTEE consists of 9 letters including two Ms, two Ts and two Es.
Number of words that can be formed out of the letters of the word COMMITTEE
= Number of arrangements of 9 things of which 2 are similar to the first kind,
2 are similar to the second kind and 2 are similar to the third kind =\[\frac{9!}{2!2!2!} = \frac{9!}{\left( 2! \right)^3}\]
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