Question

A pizza shop offers thick crust, thin crust, or stuffed crust. The choices of toppings are pepperoni, cheese, hamburger, Italian sausage, Canadian bacon, onions, peppers, mushrooms, and pineapple. How many different one-topping pizzas could you order

Answer 1

Answer:

Step-by-step explanation:

33

11 toppings plus three pizza options equal 33

Answer 2

You can use combinations to get to the total count of toppings you can make.

You can make total of 27 one-topping pizzas with given conditions.

What is rule of product in combinatorics?

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in $p \times q$ ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

How to get the total number of different one-topping pizzas possible to be made?

Since there are 3 types of crusts available, and total 9 types of toppings, thus, by the rule of product of combinatorics,

for each type of crust there are 9 toppings available, thus, in total $3 \times 9 = 27$ kinds of one-topping pizzas can be made.

Thus,

You can make total of 27 one-topping pizzas with given conditions.

Learn more about rule of product here:

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