Question

Write the number of words that can be formed out of the letters of the word 'COMMITTEE'.

Answer 1

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