Permutations And Combinations Question 287

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

Options:

A) 5040

B) 720

C) 1681

D) 2520

Show Answer

Answer:

Correct Answer: C

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.