Question

The letter of the "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. 

Answer 1

Total number of letters in the word OUGHT is 5and all the five letters are different.Alphabetical order of letters is G,H,O,T,U.The number of words beginning with G=4!=24The number of words beginning with H=4!=24The number of words beginning with O=4!=24The number of words beginning with TG=3!=6The number of words beginning with TH=3!=6The number of words beginning with TOG=2!=2The number of words beginning with TOH=2!=2
therefore rank of word TOUGH is 24+24+6+6+2+2=89
this is ur answer