# Write the Number of Words that Can Be Formed Out of the Letters of the Word 'Committee' ? - Mathematics

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 =$\frac{9!}{2!2!2!} = \frac{9!}{\left( 2! \right)^3}$

Concept: Permutations
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 7 | Page 45