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JEE Advance2007
Paper-2
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
Select the correct option:
A
360
B
192
C
96
D
48
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
COCHIN The second place can be filled in ${ }^4 \mathrm{C}_1$ ways and the remaining four alphabets can be arranged in 4 ! ways in four different places. The next $97^{\text {th }}$ word will be COCHIN. Hence, there are 96 words before COCHIN.
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