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Q.

The letters of the word ‘MANKIND’ are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word ‘MANKIND’ is _______.

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answer is 1492.

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Detailed Solution

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Alphabetical order of the given word is

A,D,I,K,M,N,N

$(\frac{4 \times 6!}{2!}) + (5! \times 0) + (\frac{4! \times 3}{2!}) + (3! \times 2) + (2! \times 1) + (1! \times 1) + (0! \times 0) + 1 = 1492$

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The letters of the word ‘MANKIND’ are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word ‘MANKIND’ is _______.