Question

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Simplify the factorial expression.

(n-5)!/(n-3)!

Answer 1

• 
  `\cfrac{1}{(n-4)(n-3)}`

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Simplify considering that (n - 3) > (n - 5) and their difference is 2:

• 
  `\cfrac{(n-5)!}{(n-3)!}=\cfrac{(n-5)!}{(n-5)!(n-4)(n-3)} =\cfrac{1}{(n-4)(n-3)}`