Question

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

Answer 1

Total number of words starting with $C=5!=120$

It includes the word COCHIN also.

Therefore, the number of words that appears before the word COCHIN is less than $120$.

Total number of words starting with CO=$4!=24$

The other cases, the total words starting with CH,CI,CN is $4!=24$

Total numbe rof words starting with $10=4\times 24=9!=96$