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  • Number of words that can be made with the letters of the word "GENIUS" if each word neither begins with G nor ends in S is  Optio

Number of words that can be made with the letters of the word "GENIUS" if each word neither begins with G nor ends in S is
 

Option: 1

24


Option: 2

240


Option: 3

480

 


Option: 4

504


Answers (1)

best_answer

First we have to find all the arrangements of the word 'GENIUS'.

6 !=720

Number of arrangements which either start with G or end with \mathrm{S} is

(5 !+5 !-4 !)=(120+120-24)=216

Hence, total number of arrangements which neither start with G nor end with S is

(720-216)=504

 

Posted by

Ritika Harsh

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