FACTORIALS. need help!!?

Question

For any integer k>1, k! is the product of every integer from 1 to k. Thus, 3! = 1x2x3. Write the only integer n>32 that satisfies:
(n-23)!(23)! = (n-32)!(32)!

Answer 1

(n-23)! / (n-32)! = 32!/23!

so n - 23 = 32
and n - 32 = 23

n = 55

Answer 2

55