Sum
Find the number of permutations of letters in the following word:
REPRESENT
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Solution
There are 9 letters in the word REPRESENT in which ‘E’ is repeated 3 times and ‘R’ is repeated 2 times.
∴ Number of permutations of the letters of the word REPRESENT = `(9!)/(3!2!)`
= `(9 xx 8 xx 7 xx 6 xx 5 xx 4)/2`
= 30240
Concept: Concept of Permutations - Permutations When Some Objects Are Identical
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