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 $1$ and $0$ represent a win or loss, respectively. For example, Lola won five matches and lost the fourth match. What was Tiyo's win-loss record?

Video solution:

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Written solution:

Note that for each round, there are going to $2$ winners and $2$ losers (two matches each with a winner and loser).

This means that for each match, there should be $2$ ones and $2$ zeros.

Using this fact, we can deduce that Tiyo's win-loss record is $000101.$

Thus, A is the correct answer.