Sports Problems: Problem 3

Problem: Four students, A, B, C, and D are having a chess tournament. There has to be one match between ever two students. For every match, the winner gets 2 points, the loser gets 0 points, and if there is a tie then each player gains 1 point. It is known that students A, B, and C each have 3, 4, and 4, points after the tournament has ended. Student C has never tied before. Student A has won matches before, and student B has tied before. How many points does Student D have?

Key: Fill in point combinations for each student, total sum of points never change