A Mexican restaurant offers a combo plate where you can choo

A Mexican restaurant offers a combo plate where you can choose 3 items from a

list of 8 possible entrées. (The order of the items doesn’t matter.)

a. How many different combo plates can be created if an entrée cannot be selected twice in the same combo plate? For example, burrito, burrito, enchilada is not allowed.

b. A “meal deal” at the restaurant consists of one entrée, one drink, and one dessert. How many different meal deals can the restaurant advertise if there are 8

possible entrées, 10 choices for the drink and 4 possible desserts?

Solution

we have to choose 3 among 8

A) if 2 cannot be selected simultaneously and 3 other cannot be choosen now we have 5 and chose 3 only\'the ways total will be 5C3 = 10

b) if we have to choose 1 from each and same at a time the number of ways will be 8C1*10C1*4C1 = 320