Question

Lola、Lolo、Tiya 和 Tiyo 参加乒乓球比赛。每位选手都与另外三位选手各比赛两次。下方显示了选手们的胜负记录。数字 $1$ 和 $0$ 分别表示胜和负。例如，Lola 赢了五场，输了第四场。Tiyo 的胜负记录是什么？

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?

$000101$

$001001$

$010000$

$010101$

$011000$

答案：A

知识点：逻辑推理奇偶性

难度评级：1020

视频讲解：

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文字解答：

每一轮有两场比赛，因此每列记录中有 $1$ 个胜者和 $0$ 个负者。

也就是说，每列应有个一和个零。逐列补足这个条件，可得 Tiyo 的胜负记录为 $000101$ 。

所以正确答案是 A。

Each column represents one round of two matches, so every column must contain exactly two $1$ 's and two $0$ 's.

Completing each column with the value needed to reach two wins gives Tiyo's record $000101.$

Thus, A is the correct answer.

2023 AMC 8 第 8 题

答案：A

难度评级：1020

视频讲解：

文字解答：

其他年份的第 8 题