Number of ways pitchers can be selected for a baseball game . In my Probability  &amp;  Statistics class, my professor put a question on the quiz and $95 \% $ of the class got the question wrong (putting the same answer as me). I understand why my professor said our answer was wrong, but I think the wording of question allows people to interpret the problem in different ways.

"For a baseball game, the managers plans to use one starter and two relievers. If he has $3$ starting pitchers and $6$ relievers available, in how many ways can he select pitchers for the game$?$" 

Let me know what you think and then I'll tell you what my professor said and what most students put. Thank you!
I'm guessing that the issue is whether it's an ordered or unordered selection of the relief pitchers.  In a case such as this, it would be good to ask for a clarification, if that is possible.
Depends on whether the order of the relievers matters or not.  If having Smith as the first relief pitcher and Jones as the second is different from having Jones first and Smith second, then there are 3*6*5 = 90 ways to pick the pitchers.  If the order doesn't matter, then the answer is half this, or 45 different ways.  

I don't know enough about baseball to know whether this distinction (between "first relief" and "second relief") is actually one that's made in practice.