Question

The letter of the word 'COCHIN' are permuted and all the permutations are arranged in alphabetical order as in English dictionary. The number of words that appear before the word 'COCHIN' is

• A. $360$
• B. $192$
• C. $96$
• D. $48$

Answer 1

The correct option is C $96$

The number of words starting with $CC=4!$
The number of words starting with $CH=4!$
The number of words starting with $CI=4!$
The number of words starting with $CN=4!$
COCHIN is the first word in the list of words beginning with CO.
$\therefore$ Number of words that appear before the words COCHIN $=96$