10. create a scenario to explain why 3p3=3! .

Step-by-step explanation:

Permutation :The number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed.

Factorial : There are n! ways of arranging n distinct objects into an ordered sequence.  

Considering a situation when n = r in a permutation, nPr reduces to n!, a simple factorial of n.

Proof: 3P3 = 3!

n = 3 and r = 3

But 0! = 1

                                    3P3 = 3!

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0