factorial question

Question

whats 5! / (5-5)!5! = ?

Can you show the steps? Thank you.

Answer 1

First, notice that 5-5 = 0, so we can simplify the denominator

5! / (5-5)!5!

= 5! / 0!5!

By definition, 0! = 1, so the fraction simplifies to

= 5! / 5!

= 1