We have an answer to "How do you simplify n!(n−2)! ?"

eiraszero11cu

Answered question

2021-12-14

How do you simplify

\frac{n!}{(n - 2)!}

ol3i4c5s4hr

Beginner2021-12-15Added 48 answers

Explanation:
We can write it as:

\frac{n \cdot (n - 1) (n - 2) (n - 3)!}{(n - 2) (n - 3)!} =

where you used the fact that

n \neq n (n - 1)!

and so:

\frac{n \cdot (n - 1) (n - 2) (n - 3)!}{(n - 2) (n - 3)!} = n (n - 1)

Check it with

n = 4

\frac{n!}{(n - 2)!} = \frac{4!}{2!} = 12

n (n - 1) = 4 \cdot 3 = 12

Thomas White

Beginner2021-12-16Added 40 answers

I didn't think that this question would have such an answer.

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