Question

How do you simplify `(""_12P_10)/(""_12P_2)`?

Answer 1

The notation `color(white)(2)_nP_r` can be expanded as `(n!)/((n - r)!)`. This is known as the permutation formula.

Explanation:

`((12!)/((12 - 10)!))/((12!)/((12 - 2)!)`

`=(12!)/(2!) xx (10!)/(12!)`

`= "1 814 400"`

Hopefully this helps!