You decide to give away your video game collection so as to better spend your time studying advanced mathematics. How many ways can you do this, provided:
You want to distribute your 3 different PS4 games among 5 friends, so that no friend gets more than one game?
You want to distribute your 8 different 3DS games among 5 friends?
You want to distribute your 8 different SNES games among 5 friends, so that each friend gets at least one game?
In each case, model the counting question as a function counting question.
in-context