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

Question

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

Tardigrade Admin · Accepted Answer

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.

Q. 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

5040

720

1681

2520

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.