Question

Find the number of permuatation of letters of word ALLAHABAD.​

Answer 1

Number of letters in the word ALLAHABAD is 9
Number of repeated letters are 4A, 2L
So,
Number of ways = 9/4 * 2!
= 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1/ (4 * 3 * 2 * 1) * (2 * 1)
= 362880/24 * 2
= 362880/48
=7560.

So, The letters os the word ALLAHABAD is arranged in 7560 ways.