For a certain race, 3 teams were allowed to enter 3 members each.A team earned 6 - n points whenever one of its members finished in nth place, where 1 <= n <= 5.There were no ties, disqualifications, or withdrawals.If no team earned more than 6 points, what is the least possible score a team could have earned?
Think about this approach: the top five finishers get 5, 4, 3, 2 and 1 points, respectively. That is, 15 points are awarded in total. To find the least points one team could get, we want the other teams to get the maximum possible, which is 6. If both the other teams get 6 points, the remaining team could get 3 points. We should do a quick check to make sure that the teams actually can get 6, 6, and 3 points: and indeed they can, if one gets 5+1, one gets 4+2, and the other gets 3.
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发表于 2007-10-20 10:01:00
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