Question

How many different words can be formed with the letter of the word 'ALLAHABAD'?

• A. 7500
• B. 7560
• C. 7510
• D. 7580
• E. None of these

Answer 1

The correct option is B 7560

There are 9 letters in the word 'ALLAHABAD' in which 4 are 'A' s, 2 are 'L' and the rest all are distinct.
So, the required number of words
$=\frac{9!}{4!2!}=\frac{9\times 8\times 7\times 6\times 5\times 4!}{4!\times 2!}$
= 7560