Question

The letters of the word $COCHIN$ are permuted and all permutation are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word $COCHIN$ is

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

Answer 1

The correct option is A $96$

The first permuted word in the dictionary would be $CCHINO$

Since the first letter in $COCHIN$ is $C$, we start with the second letter.

The number of words starting with $CC$ are $24$, with $CH$ are $24$, with $CI$ are $24$ and with $CN$ are $24$.

The first word which starts with $CO$ would be $COCHIN$.

Thus, before $COCHIN$, there are $96$ words which appear in a dictionary.