Permutations & Combinations

Combinations

Example

How many different 5 player basketball teams can be selected from an 11 player team?

Step 1. Determine if this is a combination or a permutation.

Since the order of the players does not make a difference, this is a combination.

Step 2. Enter the data into the formula.

Combex1

Step 3. Simplify the formula.

Combex_2

There are 462 different teams of 5 players to choose from.