Jill is dividing her eight-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?
Answers
A) 10 B) 35 C) 126 D) 252 E) 630
With 8 players, the process of figuring out how many groups of 4 can be formed is pretty straight-forward....   8C4 = 8!/(4!4!) = 70 possible groups of 4   Once forming that first group of 4, the remaining 4 players would all be placed on the second team by default.   The 'twist' is that the two teams of 4 canshow upin either order:   35
<result>B</result>
Jill is dividing her eight-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?