In a win or lose game , the winner gets $2$ points whereas the loser gets $0$. Six players A, B, C, D, E and F play each other in a preliminary round from which the top three players move to the final round. After each player has played four games, A has $6$ points, B has $8$ points and C has $4$ points. It is also known the E won against F. In the next set of games D, E and F win their games against A, B and C respectively. If A, B and D move to the final round, what is the final score of E and F respectively?
note:I am completely new to such combinatorial problems so I request for a deep explanation of the essence of the problem. Thank you!