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?

Algebra.Com
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)   (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.
RELATED QUESTIONS

Hi everyone; Pizza Options: A Pizzeria offers thin-crust and deep-dish 9, 12, and... (answered by edjones)
A pizza place has pizzas in 3 different sizes, with 10 different flavors for the crust,... (answered by ikleyn)
If a pizzeria has 3 different types of crust, 3 different pizza sizes, and 10 different... (answered by General_Lee87)
how many 1-topping pizzas can be made from a choice of 15 toppings, 3 sizes, and 2 crust... (answered by timvanswearingen)
You decided to order a pizza but you have to choose the type of crust and the toppings.... (answered by ikleyn,greenestamps)
Pat's Pizza Palace will prepare pizza with thin crust, thick crust, or deep-dish style.... (answered by edjones)
A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many (answered by greenestamps)
a pizza parlor offers 4 sizes of pizza (small,large,medium,and colossus),two types of... (answered by Fombitz)
A pizzeria has 6 meat toppings and 9 vegetable toppings. In how many different ways can a (answered by stanbon)