Question

The letters of the word $\text{COCHIN}$ are permuted and all permutations are arranged in an alphabatical order as in english dictionary. The number of words that appear before the word $\text{COCHIN}$ is

• A. $96$
• B. $48$
• C. $183$
• D. $267$

Answer 1

The correct option is A $96$

The number of words starting with $\text{CC}=4!=24$
Similarly, in each cases total word starting with
$\text{CH}=4!=24\text{CI}=24\text{CN}=24$
Now the next word will be,
$\text{C O C H I N}$
$\therefore$ Total no. of words starting before $\text{COCHIN}$ is
$24+24+24+24=96$