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The letters of the word COCHIN are permu...

The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order s in an English dictionary. The number of words that appear before the word COCHIN is a.`360` b. `192` c. `96` d. `48`

A

360

B

192

C

96

D

48

Text Solution

Verified by Experts

The correct Answer is:
C
Arrange the letters of the word COCHIN as in the order of dictionary CCHINO.
Consider the words starting from C.
There are `5!` such words. 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.
Similarly, number of words before the first word starting with `CO = 4! + 4! + 4! + 4! = 96.`
The word starting with CO found first in the dictionary is COCHIN. There are 96 words before COCHIN.
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