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
A) 5040
B) 720
C) 1681
D) 2520
Explanation
(c)
The number of words start with $D = 6! = 720$
The number of words start with $E = 6! = 720$
The number of words start with $MD = 5! = 120$
The number of words start with $ME = 5! = 120$
Now sthe first word start with MO is MODESTY.
Hence, rank of MODESTY $= 720 + 720 + 120 + 120$
$= 1681$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.