Question

.8
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:
(1)24 (2)240 (3) 480 (4)504​

Answer 1

Step-by-step explanation:

Let us first see total number of words formed with these 6 letters I.e 6!.

Now calculate

Total no. Of words starting with G=5!

Total no. Of words ending with S=5!

Total no of words beginning with Great and ending with S=4!

To calculate words that neither begin with G nor ends with S consider that if we subtract total words by total words starting with G and ending with S then we'll get required answer.

So total number of words starting with G and ending with S can be calculated as :-

Set of G_____ (words) +Set of S_____(words) - set of G____S(words).

Thus Ans is 6-(5+5-4)=504