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Question: The letters of the word MODESTY are written in all possible orders and these words are written out a...

The letters of the word MODESTY are written in all possible orders and these words are written out as in a dictionary, then the rank of the word MODESTY is

A

5040

B

720

C

1681

D

2520

Answer

1681

Explanation

Solution

Words start with D are 6! = 720. start with E are 720, start with MD are 5! = 120 and start with ME are 120. Now the first word starts with MO is nothing but MODESTY. Hence rank of MODESTY is 1681.