# Find the Total Number of Permutations of the Letters of the Word 'Institute'. - Mathematics

Find the total number of permutations of the letters of the word 'INSTITUTE'.

#### 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 =$\frac{9!}{2!3!}$

Concept: Factorial N (N!) Permutations and Combinations
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.5 | Q 21 | Page 43