Question

find the number of ways to arrange the letters in Appraisal?

Answer 1

The number of ways to arrange the letters in appraisal is\[\frac{9!}{3!2!}\]
The 9! ways of arranging the letters in appraisal have to be divided by 3! and 2! because having fixed the positions of the non-repeated letters, the A's may be arranged in 3! ways and the P's in 2! ways without making a different word.

Answer 2

30240