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WBJEE · Maths · Permutation Combination

The letters of the word 'COCHIN' are permuted and all the permutations are arranged in alphabetical order as in English dictionary. The number of words that appear before the word 'COCHIN', is

  1. A 360
  2. B 192
  3. C 96
  4. D 48
Verified Solution

Answer & Solution

Correct Answer

(C) 96

Step-by-step Solution

Detailed explanation

The number of words starting with \(\mathrm{CC}=4!\) The number of words starting with \(\mathrm{CH}=4!\) The number of words starting with \(\mathrm{Cl}=4!\) The number of words starting with \(\mathrm{CN}=4!\) COCHIN is the first word in the list of words beginning with CO.…