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Question
Find the number of permutations of letters of the following word: REPRESENT
Solution
The word REPRESENT has 9 letters of which ‘E’ is repeated 3 times, ‘R’ is repeated 2 times, and the rest all are different.
∴ The number of distinct permutations
= `("n"!)/("p"!"q"!)`
= `(9!)/(3!2!)`
= `(9xx8xx7xx6xx5xx4)/2`
= 30240
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