In shops with lots of different ice cream flavors there are many different combinations, even with only a
2-scoop cone. With 1 ice cream flavor there is 1 kind of 2-scoop ice cream, but with 2 flavors there are 3
possible combinations (ex. Vanilla/Vanilla, Chocolate/Chocolate, Vanilla/Chocolate).
Note: Vanilla/Chocolate is the same thing as Chocolate/Vanilla.
1. How many different kinds of 2-scoop cones can be made with 10 flavors?
2. What about if there were n flavors? Can you find, explain, and/or predict the pattern?
3. More time left? Can you find another method or equation to justify your thinking?