The letters of word $OUGHT$ are written in all possible orders and these words are written out as in a dictionary. Find the rank of the word $TOUGH$ in this dictionary.

Starting with G there are $4!$

Starting with H there are $4!$

Starting with O there are $4!$

Starting with TG there are $3!$

Starting with TH there are $3!$

Starting with TOG there are $2!$

Starting with TOH there are $2!$

Starting with TOUGH there are $1!$

The rank of the word TOUGH in this dictionary

$=4!+4!+4!+3!+3!+2!+2!+1!={89}^{th} word$

Hence, option 'A' is correct.