# Calculate the Number of Different Combinations of Outfits

In this worksheet, students will calculate the number of different combinations of outfits.

Key stage:  KS 3

Curriculum topic:   Probability

Curriculum subtopic:   Understand Probability Outcomes

Difficulty level:

#### Worksheet Overview

Combinations appear regularly in everyday life.

For example, what could I have on my toast for breakfast?

What selection of snacks shall I pack for the day?

What should I wear today?

To work out the total number of combinations, we can multiply together the numbers of the different options.

Example

At Jack's school there are some uniform choices:

short sleeve T-shirt, short sleeve shirt, long sleeve shirt

grey trousers, grey shorts

jumper, blazer

How many different combinations are there?

There are 3 top options

There are 2 bottom options

There are 2 jumper options

So there are 3 x 2 x 2 = 12 possible combinations

Let's have a go at some questions.

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