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.
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?
1 answer