Question

“Middle School Eight” 篮球联盟有 $8$ 支球队。每个赛季，每支球队与联盟中其他每支球队各打两场比赛（一主一客），并且每支球队还与非联盟对手打 $4$ 场比赛。一个赛季中涉及 “Middle School Eight” 球队的比赛总数是多少？

The "Middle School Eight" basketball conference has $8$ teams. Every season, each team plays every other conference team twice (home and away), and each team also plays $4$ games against non-conference opponents. What is the total number of games in a season involving the "Middle School Eight" teams?

$60$

$88$

$96$

$144$

$160$

答案：B

知识点：基本计数

难度评级：1170

解答：

每支球队有 $4$ 场非联盟比赛，所以涉及 Middle School Eight 球队与非联盟对手的比赛有 $8\cdot4=32$ 场。

联盟内部，这 $8$ 支球队中的每支都有 $7$ 场对阵其他球队的主场比赛，所以联盟比赛有 $8\cdot7=56$ 场。总数为 $32+56=88$ 。

所以正确答案是 B。

Each team plays $4$ non-conference games, for $8\cdot4=32$ games involving Middle School Eight teams and non-conference opponents.

Within the conference, each of the $8$ teams has $7$ home games against the other teams, so there are $8\cdot7=56$ conference games. The total is $32+56=88$ .

Thus, B is the correct answer.

2014 AMC 8 第 16 题

答案：B

难度评级：1170

解答：

其他年份的第 16 题