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 COCHIN is

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 COCHIN is

Infinity Learn · Accepted Answer

Letters appearing in the word COCHIN are C, C, H, I, N, OWords appearing before COCHIN  are of the form C X $$-$$ $$-$$ $$-$$ $$-where$$ X is one of the letters C, H, I, N and the four remainingplaces can be filled by the remaining four letters.Thus, the number of words before COCHIN is (4) (4$$!$$) $$=$$ $$96$$

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

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