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`

Options

A. 360
B. 192
C. 96
D. 48

Answer

C

Explanation

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.