Another problem here is how to come up with the number of ways of assigning 2 hands, given you've picked the 2 players. It's not C(24,2), because once you assign one of the players a hand, Qh Qd, say, then you've eliminated hands like Qh Qs, or Qd Qc. So, C(24,2) counts Qh Qs + Qh Qd, whereas this possibility is impossible in the problem.