Q. 6 A5.0( 4 Votes )

How many different words can be formed from the letters of the word ‘GANESHPURI’? In how many of these words:

the letter G always occupies the first place?

Answer :

Given: the word is ‘GANESHPURI.’


To find: number of words starting with G


So, fix the position of the first letter as G



Remaining number of letters in the word = 9


Now, we need to arrange these 9 letters at 9 places.


Formula used:


Number of arrangements of n things taken all at a time = P(n, n)



The total number of ways


= the number of arrangements of 9 things taken all at a time


= P(9, 9)




{ 0! = 1}


= 9!


Hence, a possible number of words using letters of ‘GANESHPURI’ starting with ‘G’ is 9!


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