Q. The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is
A) 360
B) 192
C) 96
D) 48
Explanation
(c)
Arrange the letter of the word COCHIN as in the order of dictionary CCHINO
Which number of words with the two C’s occupying first and second place$= 4!$
Number of words starting with CH, CI, CN is $4!$ each
$\therefore$ Total number of ways $= 4! + 4! + 4! + 4! = 96$
There are 96 words before COCHIN
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.