colton said:Nerd fact of the day: with 13 players on the roster, there are actually 1287 different lineups that Ty could choose from. ( 1287=13!/(5!8!) )
Need to factor in positions
Oh, you want to make things complicated, do you?
I'm up for the challenge. Let's say the Jazz have 3 PG (Harris, Tinsley, Watson), 5 "Wings" (Bell, Burks, Hayward, Howard, and Miles), and 5 "Bigs" (Evans, Favors, Jefferson, Kanter, and Millsap), and that Corbin has to pick 1 PG, 2 Wings, and 2 Bigs for each lineup.
In that case, he has exactly 300 different lineups he can choose from. ( 300 = (3 choose 1) * (5 choose 2) * (5 choose 2) , where "a choose b" = a!/(b!(a-b)!) )
One could make things even more complicated, by saying for example Evans can play SF or PF, but not SG or C. In that case you get only 210 different lineups. (Not going to show work for this one unless anyone really cares.)
Boo-yah!