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Chapter 11: Problem 8

A pizza can be ordered with three choices of size (small, medium, or large), four choices of crust (thin, thick, crispy, or regular), and six choices of toppings (ground beef, sausage, pepperoni, bacon, mushrooms, or onions). How many onetopping pizzas can be ordered?

Short Answer

Expert verified
The total number of different one-topping pizzas that can be ordered is 72.

Step by step solution

01

Identify the number of options in each category

We have 3 options for size (small, medium, or large), 4 options for crust (thin, thick, crispy, or regular), and 6 options for toppings (ground beef, sausage, pepperoni, bacon, mushrooms, or onions).
02

Use the Fundamental Principle of Counting

The Fundamental Principle of Counting states that if there are \(m\) ways to do one thing, and \(n\) ways to do another, then there are \(m \times n\) ways to do both. Here, we have 3 categories so we need to multiply the number of choices in each category. So, the total number of combinations of pizzas is \(3 (options for size) \times 4 (options for crust) \times 6 (options for toppings)\).
03

Compute the Result

Calculating \(3 \times 4 \times 6\) we get 72. So, there are 72 different one-topping pizzas that can be ordered.

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