Question

A store sells there varieties of cheese chddar, Gouda, and swiss. Each variety of cheese is available in two different styles sheredded or sliced. How many possible outcomes for the variety and style of cheese are there?

Answer 1

There are 6 possible outcomes.

1. Cheddar shredded.
2. Cheddar sliced.
3. Gouda shredded.
4. Grouda sliced.
5. Swiss shredded.
6. Swiss sliced.

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Answer 2

There are 3 varieties of cheese (cheddar, Gouda, swiss) and 2 styles (shredded, sliced). You simply multiply those numbers: 3*2 = 6

Answer: 6

Here are the 6 possible combinations:

Combo 1: cheddar, shredded

Combo 2: cheddar, sliced

Combo 3: Gouda, shredded

Combo 4: Gouda, sliced

Combo 5: swiss, shredded

Combo 6: swiss, sliced

Each line shown above is exactly one possible combo.

You can decide to use a tree to help organize the information (see attached image). Note how there are 6 branches in the tree to represent the 6 combos

If there are a ton of combinations, then it would take a long time to list them all. Also, the tree would be a pain to create with so many branches. Fortunately, 6 is a small number to work with.