Final answer:
There are 924 different combinations of 6 toppings that can be made from 12 available toppings when the order of toppings does not matter.
Step-by-step explanation:
The student is asking about the number of different combinations of pizza toppings that can be made. Given 12 individual toppings and the need to choose 6 for a pizza without repeating any topping and without considering the order of toppings, we can use the combination formula to solve this problem. The formula for combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of items to choose from, and k is the number of items to choose. For this question, n = 12 and k = 6.
The calculation would be C(12, 6) = 12! / (6! * (12-6)!) = 12! / (6! * 6!) = (12 * 11 * 10 * 9 * 8 * 7) / (6 * 5 * 4 * 3 * 2 * 1), which simplifies to 924. Therefore, there are 924 different ways to make a pizza with 6 toppings from a selection of 12.