# How do you evaluate 5(3P2)?

##### 1 Answer

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

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