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

Step-by-step solution

The letters of the word COCHIN are C, C, H, I, N, O. Arranging these letters in alphabetical order gives: C, C, H, I, N, O. To find the number of words appearing before COCHIN, we consider words starting with letters that come before the letters in COCHIN in alphabetical order. Words starting with C: The remaining letters are C, H, I, N, O. The word must start with C followed by a letter smaller than O. The letters available are C, H, I, N. If the second letter is C, the remaining letters are H, I, N, O. The number