Question

Use: nCk = n!/k! (n-k)!
At a local cafeteria there are ten vegetable selections available. How many three-vegetable plates may be made

Answer 1

Answer:

120

Step-by-step explanation:

The formula $nCk=\frac{n!}{k!(n-k)!}$ describes how many ways $k$ items can be chosen given $n$ total items. In this scenario, $n=10$, and $k=3$, thus:

$\frac{10!}{3!(10-3)!}=120$

This means that you can make 120 three-vegetable plates