Question

the Supreme Choice pizza at Pizza Paradise containing three different meats and three different vegetables. The customer can select any one of the five types of crust. If there are 6 meats and 9 vegetables to choose from, how many different Supreme choices Pizza can be made?

Answer 1

The Supreme Choice pizza at Pizza Paradise contains:

-) 3 different types of meat

-) 3 different vegetables

There are:

-) 5 types of crust (the customer can select one of them)

-) 6 types of meat

-) 9 vegetables

How many different Supreme choices Pizza can be made? ​

We can use the combinatory operator.

The customer can choose 3 different types of meat out of 6. The number of possible selections is:

For the crust, the customer can choose 1 of 5 possible types. Then, the number of different ways he can choose the crust is simply 5.

For the vegetables, there are 9 in total, and the customer can choose 3 different types. Again, using the combinatory operator, we have:

So we have 20 possible ways of choosing 3 types of meat, 5 possible ways of choosing 1 type of crust, and 84 different ways to choose 3 different vegetables.

For the total number of different Supreme choices Pizza a customer can make, we take the product:

20*5*84 = 8400

That is, there are 8400 different Supreme choices pizza.