How do you simplify #(n!)/((n - 1)!)#?

1 Answer
Noah G
Mar 30, 2017

#n#

Explanation:

The definition of a factorial is #n! = n(n - 1)(n - 2)(...)(1)#. To take a concrete example, we have that #3! = 3 * 2 * 1 = 6#.

Applying this definition, we have:

#(n!)/((n - 1)!) = (n(n - 1)!)/((n - 1)!) = n#

Hopefully this helps!

Related questions
See all questions in Factorial Identities
Impact of this question
1651 views around the world
You can reuse this answer
Creative Commons License