PREP

112.   11750-!-item-!-187;#058&008431

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?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4

答案是D

一共有1，2，3，4，5这五个名次，分别可以得到5，4，3，2，1分

每个对的得分都不大于6，就是说可以小于等于6

那么可以是一个队得了5分和1分，一个队得了4分和2分，一个队得了3分，这样这个3分就是最可能小的得分了

这题首先把5分，4分，3分这三个最大的分配到三个队，因为这三个分数不可能在同一个队，然后就把2分和1分在这三个队里分配。恩