Question

Tony allows his customers to create their own pizza. The customers choose exactly one type of crust, sauce, cheese, and meat for their pizza. The following table shows the options available to customers. How many different pizza combinations are there?​

Answer 1

192

Explanation:

khan

Answer 2

In cases like these, you simply have to multiply the choices you have for each step.

In fact, you can choose between 4 different crusts. For each of these crusts you can choose 4 different sauces. This means that there are
`4\cdot 4 = 16` choices at this point. In fact, if we call the crust options 1,2,3,4 and the sauce options A,B,C,D, the 16 possible combinations are

`1A,\ 1B,\ 1C,\ 1D,\ 2A,\ 2B,\ 2C,\ 2D,\ 3A,\ 3B,\ 3C,\ 3D,\ 4A,\ 4B,\ 4C,\ 4D`

From here, you keep going multiplying the number of options for each step, for a total of

`4\cdot 4 \cdot 3 \cdot 4 = 192`