evaluate the expression ₆ P ₀ I am not sure how to do this problem can some one show me how to do this step by step

Answer 1

By definition
_nP_r = n!/(n-r)!

so ₆P₀
= 6! / (6-0)!
= 6!/6!
= 1

If you have a scientific calculator, look to see if you have a key that looks like _nP_r

on mine to do something like ₆P₂
I would enter the following key strokes

6
2nd _nP_r
2
=

to get 30

Notice ₆P₂
= 6!/4!
= 6x5x4! /4!
= 6x5
= 30