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The letters of the word C O C H I N COCHIN are permuted of and all the permutations are arranged in an alphabetical order as in English dictionary. The number of words that appear before the word C O C H I N COCHIN are

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72 N o n e None 48 28 96 360 192

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2 solutions

Given Word : COCHIN

Alphabetical Order : C, H, I, N, O

No. of words beginning with CC : 4!

No. of words beginning with CH : 4!

No. of words beginning with CI : 4!

No. of words beginning with CN : 4!

The next word will be COCHIN according to alphabetical order.

So, number of words preceding COCHIN = 4! + 4! + 4! + 4! = 96 \boxed{96}

Isha Amoncar
Mar 10, 2015

Permutations of O, C, H, I, N = 5!

Permutations of C, H, I, N = 4!

Since C, H, I, N, are already in alphabetical order, they needn't be rearranged.

No. of words before COCHIN = 5! - 4! = 96

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