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

the letter P and I respectively occupy the first and last place?

Given: the word is ‘GANESHPURI.’


To find: number of words starting with P and ending with I


So, fix the position of first and last letter as P and I



Remaining number of letters in the word = 8


Now, we need to arrange these 8 letters at 8 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 8 things taken all at a time


= P(8, 8)




{∵ 0! = 1}


= 8!


Hence, a possible number of words using letters of ‘GANESHPURI’ starting with ‘P’ and ending with ‘I’ are 8!


6