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Question
Find the number of permutations of letters in the following word:
BALBHARATI
Sum
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Solution
There are 10 letters in the word BALBHARATI in which ‘B’ is repeated 2 times and ‘A’ is repeated 3 times.
∴ Number of permutations of the letters of the word BALBHARATI = `(10!)/(2!3!)`
= `(10 xx 9 xx 8 xx 7 xx 6 xx 5 xx 4 xx 3 xx 2 xx 1)/(2 xx 3 xx 2)`
= 302400.
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