Question

The supreme choice pizza at Pizza Paradise contains 2 different meats and 2 different vegetables. The customer can select any one of 6 types of crust. If there are 4 meats and 9 vegetables to choose from, how many different supreme choice pizzas can be made

Answer 1

There are 1,296 different ways to make supreme choice pizza.

Step-by-step explanation:

Here, the total number of crusts available  = 6

The number of crust to be chosen = 1

So, the number of ways that can be done  = $^6 C_1 = 6$  ways  ...... (1)

Similarly, the total number of meats available  = 4

The number of types meats to be chosen = 2

So, the number of ways that can be done  = $^4 C_2 = 6$   ways ...... (2)

Similarly, the total number of vegetables available  = 9

The number of types vegetables to be chosen = 2

So, the number of ways that can be done  = $^9 C_2 = 36$ ways   ...... (3)

Now, combining (1), (2) and (3):

The number of ways one can choose 1 crust, 2 meat and 2 vegetables

= 6 ways x 6 ways x 36 ways  = 1,296 ways

Hence, there are 1,296 different ways to make supreme choice pizza.