COMBINATION & PERMUTATION

Overview

Combination is a selection of items in a set such that the order of selection does not matter.

Permutation is arranging items in a set into some order or sequence. The order does matter here. 

Example 1

How many combinations are there to select five numbers out of 0 to 9?

Steps:

10 nCr 5 =

Result: 252

Example 2

How many bets are there in a lottery to randomly select five numbers out of 0 to 9 given that each number is unique?

Steps:

10 nPr 5 =

Result: 30,240