SOLUTION: A pizzeria offers thin-crust and deep-dish pizzas in 9-, 12-, and 14-inch sizes, with 15 possible toppings. How many different types of pizzas can be ordered?

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Question 360492: A pizzeria offers thin-crust and deep-dish pizzas in 9-, 12-, and 14-inch sizes, with 15 possible toppings. How many different types of pizzas can be ordered?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

2 types of crust, 3 sizes, 15 possible toppings

How many different types of pizzas can be ordered?

With one topping per pizza:

2*3*15 = 90 different types can be ordered



With from 0 to 15 toppings per pizza (combinations with no toppings = 6)

6 + 6(15C1 + 15C2 + 153 + 15C4 + 15C5 + 15C6 + 15C7 + 15C8 + 15C9 + 15C10

+ 15C11 + 15C12 +15C13 + 15C14 + 15C15)= 196,608 types can be ordered.