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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 sum of the digits of the rank of the word ‘MANKIND’ is_______.

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answer is 8.

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Detailed Solution

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MANKIND ( Given word)
ADIKMNN (alphabetical order)
A6!2!=360
D6!2!=360I6!2!=360
K6!2!=360MAD4!2!=12MAI4!2!=12
MAK.4!2!=12MAND3!=6MANI3!=6MANKD.2!=2MANKID1!=1MANKIND=1rank=1492

sum of the digits=1+4+9+2=16

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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 sum of the digits of the rank of the word ‘MANKIND’ is_______.