# How do you evaluate 5(3P2)?

Jan 29, 2016

5(3P2) on a calculator would give you 30.

#### Explanation:

3P2 means how many permutations of 2 can be achieved from a choice of three.

Say you have three choice A,B and C
You have 3 possible COMBINATIONS
AB
AC
BC
But with PERMUTATIONS the order is significant
AB but also BA
AC CA
BC CB
6 possibilities. You can shortcut this by doing 3P2 on a calculator. The formula would be  (3!)/((3-2)!)

You are then multiplying this by 5, this would be 5x6 = 30