Permutations & Combinations

Permutations

Example

How many different 7 player batting orders can be created from a 9 player team?

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

Since the order the batters are in makes a difference, this is a permutation.

Step 2. Enter the data into the formula.

Perm_ex1

Step 3. Simplify the formula.

Perm_ex2

There are 181,440 different batting orders to choose from.