There is a total of 4 different cheeses and 10 different toppings.
From the 4 cheeses we are to select 2 cheeses.
To select the 1st cheese, we have 4 possibilities
To select the 2nd cheese, we have 3 possibilities left
Total = 4 * 3 = 12
From the 10 different toppings we are to select 3 cheeses.
To select the 1st topping, we have 10 possibilities
To select the 2nd topping, we have 9 possibilities left
To select the 3rd topping, we have 8 possibilities left
Total = 10 * 9 * 8 = 720
So the total number of ways pizza can be made:
= 12 * 720 = 8640
= 8640 ways.
