Chapter 12.3, Problem 33E

In Exercises 31–44, specify the number of ways to perform the task described. Give your answers using $\text{P}\left(\text{n, r}\right)\text{ or C}\left(\text{n, r}\right)$ notation. The key in recognizing whether a problem involves permutations or combinations is deciding whether order is important.

Hot sauce. A hot sauce bar has 17 varieties. You are going to select 3 to taste, but you do not care about the order in which you taste them.