@sumit goyal 1 see, this is the question of permutation and combination where they will ask what are the different permutation of the given word and You have to find all those permutations possible, and the word given in the question is also a permutation of the given word, and whatever answer you calculate contain that permutation also.
So, they will ask you different permutations which in your case you have calculated.
they are asking different words so we have to subtract -1 becuase allahabad is also there in 7560 , so 7560-1 = 7559 what do u think ?
No, you do not have to subtract 1 from your answer.
If they will say like this:-
What are the different numbers of permutation of the word ALLAHABAD other then given permutation.
then, in this case, you have to subtract 1, because in 7560 permutations it is also calculated, So, to obtain differently we have to subtract 1.
But not in this case.