he 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?
First, we need to calculate the total number of possible combinations of meats and vegetables for the supreme choice pizza.
For meats, there are 4 options to choose from, and we need to select 2 different meats. This can be calculated using combination formula: nCr = n! / r!(n-r)!, where n is the total number of options and r is the number of selections.
4C2 = 4! / 2!(4-2)! = 6
Similarly, for vegetables, there are 9 options to choose from, and we need to select 2 different vegetables.
9C2 = 9! / 2!(9-2)! = 36
Now, we need to find the total number of combinations of meats and vegetables for the supreme choice pizza:
Total combinations = number of meat combinations * number of vegetable combinations
Total combinations = 6 * 36 = 216
Next, we need to consider the crust options. There are 6 types of crust to choose from, so for each combination of meats and vegetables, there are 6 different choices of crust.
Therefore, the total number of different supreme choice pizzas that can be made is:
Total combinations = 216 * 6 = 1296
So, there are 1296 different supreme choice pizzas that can be made at Pizza Paradise.