Question

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

Answer 1

Answer:

The number of different pizzas to choose from is 192 pizzas

Step-by-step explanation:

To solve the question, we note that the number of different pizzas is given by the number of different combinations of the recipes of the pizzas as follows

Since we have

8 different meats

4 different  cheeses

3 different  crust types and

2 different sauces. the number of different combination is given by

8 × 4 × 3 × 2 = 192 combinations.

The number of different pizzas to choose from = 192 pizzas.

Answer 2

Answer:

192pizzas

Step-by-step explanation:

- To make your own pizza you would have to choose a type of meat, cheese, crust, sauces.

- Papa John's has the following number of choices for each step:

                     Types of meat = 8

                     Types of cheeses = 4

                     Types of crusts = 3

                     Types of sauces = 2

- We have to choose "1" type from each of the available 4 categories to complete our pizza.

- We will use selection process " combinations" to determine of ways we could make our own pizza:

                     Select 1 type meat = 8C1 = 8

                     Select 1 type of cheese = 4C1 = 4

                     Select 1 type of crust = 3C1 = 3

                     Select 1 type of sauce = 2C1 = 2

 ==============================================

Total ways to make a pizza = 8 * 4 * 3 * 2 = 192 ways

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- So we would have to choose from 192 different pizzas.