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JEE Advanced2007MathematicsPermutation and CombinationActual

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

Options

  1. A360
  2. B192
  3. C97
  4. D48

Correct answer

C. 97

Step-by-step solution

In a word COCHIN , the second place can be filled in ^4 C₁ ways and the remaining four alphabets can be arranged in 4 ! ways in four different places. The next 97^ th word will be COCHIN.

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