AJ is getting ready for a Friday night date. He has 3 choices of shirts, 3 choices for pants, and 2 pairs of shoes. How many outcomes are possible?
\(3\times 3\times 2 = 18\)
There's actually 36. He's got 4 shoes total and only has to wear 2.
No one says he has to wear matching shoes. His date might be wild and crazy and like that sort of thing!
He does however have to wear the proper shoe on the proper foot.
So we end up with 4 combos (L1,R1), (L2,R2), (L1,R2), (L2, R1)
So the real number is
\(3\times 3\times 4 = 36\)
Seeing how 36 isn't a choice I guess they are assuming he's going to wear a matching pair of shoes
and so 18 would be the correct answer.