Jean Luc's favorite Asian restaurant has six dishes on its lunch menu. He wants to get their three-item combo for lunch and is reminded by the counter-person that he can order two or three servings of the same selection. How many different ways could he order lunch? Homework Help ✎
The order in which the food is selected does not matter.
For a three item lunch, how many items are there to choose from and how many are you going to select?
Now find how many lunches of two items can be selected.
2 · 6C2
Now find how many lunches of one item can be selected.
6C3 + 2 · 6C2 + 6C1 = 20 + 2(15) + 6 = 56