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The letters of the word ' COCHIN ' are p...

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

A

360

B

192

C

96

D

48

Text Solution

Verified by Experts

The correct Answer is:
C
In a word COCHIN, the second place can be filled inn `.^(4)C_(1)` ways and the remaining four alphabets can be arranged in 4! Ways in four different places. The next 97th word will be COCHIN. Hence, the number of words that appear before the word COCHIN is 96.
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