Geometry

Question Analysis
This question involves applying the combination formula to a real - life pizza - topping selection scenario.
The main focus is on determining the correct values of and based on the problem description and then accurately using the combination formula to calculate the number of possible combinations.

Key Concept Explanation
The combination formula is used when the order of choosing items does not matter.
In this case, the order in which the toppings are selected for the pizza does not affect the final pizza, so we use combinations.

Step - by - Step Solution
Here, (the total number of available toppings) and (the number of toppings the customer wants to choose).
First, calculate the factorials:, , and

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