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.

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Answer 1

Your 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.

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Answer:
Dear student
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!=2There will be two words beginning with TOU and TOUGH is first among themTherefore,The rank of the word TOUGH' in the dictionary=24+24+24+6+6+2+2+1=89th
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