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?

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!