The participants in a race consisted of 3 teams with 3 runners on each team. A team was awarded 6-n points if one of its runners finished in nth place, where 1≦n ≦5. If all the runners finished the race and if there were no ties, was each team awarded at least one point?

(1) No team was awarded more than a total of 6 points.

(2) No pair of teammates finished in consecutive places among the top five places.

谢谢~~

（1）没有哪个队超过6分

因为一共5个名次，有5+4+3+2+1=15分。每队最多得6分，假设两个队都得6分，另

外一个队最少也有3分（15-6-6，如果得分最少的队时0分的话那么剩下两个队必

然有大于6分的）

所以充分

(2)没有同一个队的两个人在前五名中获得连续名次

这个就没什么关系了，很明显

我是不明白，为什么一共5个名次。

3队，每队3人。那到底怎么跑啊？如果每次派一个人，那么不是应该3个名次嘛？

望指教！