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Question
Write the number of all possible words that can be formed using the letters of the word 'MATHEMATICS'.
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Solution
The word 'MATHEMATICS' consists of 11 letters including two Ms, two Ts and two As
Number of words that can be formed out of the letters of the word MATHEMATICS = Number of arrangements of 11 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 =\[\frac{11!}{2!2!2!}\]
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