Question

In a pizza store, there are six possible toppings. On a large pizza, you can have 3 toppings. How many combinations of pizza toppings are there?

A. 10

B. 15

C. 30

D. 60

These are the only answer choices. I got 120, however. If I am correct, please put that or any other answer instead! Thank you.

:)

Answer 1

20

Explanation:

The questions asks about Combinations of Pizza toppings, so by employing the Combination Formula:

`C(n, k) = (n!)/(k!(n-k)!)`

`C(6, 3) = (6!)/(3! \cdot 3!) = (6 \cdot 5 \cdot 4 \cdot 3 \cdot 2)/(3 \cdot 2 \cdot 3 \cdot 2) = 20`