Mathematics, 31.05.2021 14:00 slimgemmx

In shops with lots of ice-cream flavors there are many different flavor 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 (eg vanilla/vanilla, chocolate/chocolate, and vanilla/chocolate). How many kinds of 2-scoop cones are there with 10 flavors? What about an unlimited amount of flavors?

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