COCHIN is permuted.....................................

Arranging alphabetically, the first word in the list of permutations of COCHIN will be " CCHINO'. Keeping the two Cs at the start fixed in the place, we see that there are 4! = 24 words which have two Cs at the start. Similarly there will be 24 more for the pattern CH..., 24 more for CI... and then 24 more for CN....

The very next word will have CO as the first two letters and is COCHIN. Hope this helps.

There are no letters in our word "COCHIN" That come before C, so the first letter must be C. All the remaining letters (OCHIN), with the exception of "O", come before "O" and are therefore options for the next letter. There are 4 such letters. The next four letters are just a permutation of the 4 letters that will remain. 1 option for the first letter in our word, 4 for the second, 4 for the third, 3 for the fourth, 2 for the fifth and 1 for the sixth.

$1 \times 4 \times 4 \times 3 \times 2 \times 1 = 96$