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

1 Answer
Vikki
Dec 3, 2015

Answer: 1/n

Explanation:

Factorial mean multiply the all the number by counting down...

((n-1)!)/(n!) = [(n-1)(n-2)(n-3)!]/((n)(n-1)(n-2)(n-3)!

= [cancel((n-1)(n-2)(n-3)!)]/((n)cancel((n-1)(n-2)(n-3)!)

= 1/n

Related questions
See all questions in Factorial Identities
Impact of this question
79034 views around the world
You can reuse this answer
Creative Commons License