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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.

:)

Respuesta :

Cxlver

Answer:

20

Step-by-step explanation:

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

[tex]C(n, k) = \frac{n!}{k!(n-k)!}[/tex]

[tex]C(6, 3) = \frac{6!}{3! \cdot 3!} = \frac{6 \cdot 5 \cdot 4 \cdot 3 \cdot 2}{3 \cdot 2 \cdot 3 \cdot 2} = 20[/tex]

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