How many different words can be formed by using all the letters of the word ‘ALLAHABAD’?

Given: We have 9 letters

To Find: Number of words formed with Letter of the word ‘ALLAHABAD.’

The formula used: The number of permutations of n objects, where p₁ objects are of one kind, p₂ are of the second kind, ..., p_k is of a k^th kind and the rest if any, are of a different kind is

‘ALLAHABAD’ consist of 9 letters out of which we have 4 A’s and 2 L’s.

Using the above formula

Where,

n=9

p₁=4

p₂=2

7560 different words can be formed by using all the letters of the word ‘ALLAHABAD.’