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Permutations and Combinations Simplified

Permutations

The number of permutations is how many different ways can you arrange things.

Let’s take two dice as an example: dice 1 (D1) and dice 2 (D2). There are 36 permutations, or ways you can arrange the dice:

D1: 1, D2: 1
D1: 1, D2: 2
D1: 1, D2: 3
D1: 1, D2: 4
D1: 1, D2: 5
D1: 1, D2: 6
D1: 2, D2: 1
D1: 2, D2: 2
D1: 2, D2: 3
D1: 2, D2: 4
D1: 2, D2: 5

Combinations

The number of combinations is how many ways can you combine a group of items (order doesn’t matter) to obtain the desired result.

Let’s take two dice as an example. There are 3 combinations for rolling a 7:

1, 6
2, 5
3, 4

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Written by Brian

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