Ali, Bea, Che, and Deb compete in a checkers tournament. Each player plays each other player exactly once. At the end of each game, either the two players tie or one player wins and the other player loses. A player earns 5 points for a win, 0 points for a loss, and 2 points for a tie. Exactly how many of the following final point distributions are possible?
| Player | Points | Player | Points | Player | Points | Player | Points | |||
|---|---|---|---|---|---|---|---|---|---|---|
| Ali | 15 | Ali | 10 | Ali | 15 | Ali | 12 | |||
| Bea | 7 | Bea | 10 | Bea | 5 | Bea | 10 | |||
| Che | 4 | Che | 4 | Che | 5 | Che | 5 | |||
| Deb | 2 | Deb | 4 | Deb | 2 | Deb | 0 |
Answer Choices
A. 0
B. 1
C. 2
D. 3
E. 4