Find the number of permutations of the letters of the word ALLAHABAD.

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Question

Find the number of permutations of the letters of the word ALLAHABAD.

Options:

A . 5760

B . 6570

C . 7560

D . 7650

Answer: Option C

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2 Comments

Hemanand 2017-11-19 02:32:52

0

No.of letters in the word ALLAHABAD: 9
repetition of letter L: 2
repetition of letter A: 4

Number of permutations=
=Total no.of letters! Ã· repetition of L! Ã— repetition of A!
=9!Ã·4!2!
=9Ã—8Ã—7Ã—6Ã—5Ã—4! Ã· 4! Ã— 2Ã—1
=9Ã—8Ã—7Ã—6Ã—5 Ã· 2Ã—1
=7560

Santosh 2017-07-13 02:09:11

0

9!Ã·4!2!

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