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Question
Find the total number of permutations of the letters of the word 'INSTITUTE'.
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Solution
The word 'INSTITUTE' consists of 9 letters including two Is and three Ts.
Total number of words that can be formed of the word INSTITUTE = Number of arrangements of 9 things of which 2 are similar to the first kind and 3 are similar to the second kind =\[\frac{9!}{2!3!}\]
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