Homer has a box of 32 doughnuts. Each doughnut has a unique icing
design on each side. If Homer only gets to choose 8 doughnuts (and
only one side of each of those 8), what are the total number of
possibilities if:
- Order doesn't matter
- Order does matter
(To be clear, he is only choosing 8 "half doughnuts", but he cannot
choose both halves of the same doughnut)