An ice cream shop has 19 flavors. You also have the choice of a sugar cone, waffle cone or cup. If a person orders two scoops of different flavor ice cream, how many possible orders are there, if you do not care about the order of flavors?

Question

An ice cream shop has 19 flavors. You also have the choice of a sugar cone, waffle cone or cup. If a person orders two scoops of different flavor ice cream, how many possible orders are there, if you do not care about the order of flavors?
 I don't understand how to factor in the two different flavors? I solved for P(19,3) and I think it is wrong because I need the two scoops possibility

Damon · Answer

first scoop has 19 choices second has 18 choices cone has 3 choices 18*19*3

Hiren · Answer

First scoop have 18*3 choice Second scoop have 18*3-1 choice.. So total 108*107