Properties of factorials

Question

If n! = m!, does that necessarily make n = m?

Answer 1

By definition 0! = 1

and 1! Is also equal to 1

 

so in this special case m and n are not the same.

0! = 1! 

 

But in general they should be the same. Because for example 10! Can not be equal to 11!.

 

hope that helps.

Answer 2

Arturo

 

n! = n(n-1)(n-2)(n-3) ... (3)(2)(1)

 

Similarly,

m! = m(m-1)(m-2)(m-3) ... (3)(2)(1)

 

In order for m! to equal n!, m must = n