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钱有强GMAT数学section 5-31求解答!!!

钱有强GMAT数学笔记中Section5 的滴31题实在不理解它的解析啊,请各位NN们帮忙解答!!!
题目是这样的:
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 runner 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.
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total is 15 points.
Conditions A establishes that two teams may earn 12 points at most together, then team three must earn at least 3 points.

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