Problem:
Lola, Lolo, Tiya, and Tiyo participated in a ping pong tournament. Each player competed against each of the other three players exactly twice. Shown below are the win-loss records for the players. The numbers and represent a win or loss, respectively. For example, Lola won five matches and lost the fourth match. What was Tiyo's win-loss record?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Note that for each round, there are going to be winners and losers (two matches each with a winner and loser). This means that for each match, there should be ones and zeros. Using this fact, we can deduce that Tiyo's win-loss record is .
Thus, is the correct answer.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions