Jill is dividing her 16-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?
Choose the correct choice from the following options
A) 10 B) 25 C) 1260 D) 2520 E) 6435
With 16 players, the process of figuring out how many groups of 8 can be formed is pretty straight-forward....   16C8 = 16!/(8!8!) = 12870 possible groups of 8   Once forming that first group of 8, the remaining 8 players would all be placed on the second team by default.   The 'twist' is that the two teams of 8 canshow upin either order:   6435
<result>E</result>
Jill is dividing her 16-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?