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.