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Solution


Q.

The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a series. Then the serial number of the word TOUGH is       [2023]
1 86  
2 89   
3 79  
4 84  

Ans.

(2)

The letters in sequence of the word ‘OUGHT’ in alphabetical order as follows: G, H, O, T, U
Word starts with G can arrange in 4! ways.
                           H can arrange in 4! ways.
                           O can arrange in 4! ways.
                           TG can arrange in 3! ways.
                           TH can arrange in 3! ways.
                           TOG can arrange in 2! ways.
                           TOH can arrange in 2! ways.
                           TOUGH can arrange in 1! way.

So we must have serial number of the word is 89.