GWD13-Q07

[凱薩琳]

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

Ans:D

[Ace]

題目意思為
三隊 每隊3人
如果第一名得6-1分=5分
以此類推第五名得一分
總共有 5,4,3,2,1,0,0,0,0 九個分數要分配
在各隊分數不大於六的情況下有幾種情況
(5,0,0)(4,,2,0)(3,1,0)
(5,0,0)(4,1,0)(3,2,0)
(5,1,0)(4,0,0)(3,2,0)
(5,1,0)(4,2,0)(3,0,0)
所以三分最可能

[fsab00037748]

小妹斗膽對於Ace大的解說提出一點補充
題目:If no team earned more than 6 points, what is the least possible score a team could have earned?
我理解的意思是"如果沒有一隊拿超過六分,那麼最少分數的那隊有可能是幾分?"

所以答案是:加起來最少分數的那一隊的分數是3

[chris8888]

同意, 不然要一個一個列出來考試時候是絕對沒辦法的.

應該是如下 :
分數列表 : 5,4,3,2,,1,0
條件一 : 沒有任一隊得分>6分

中間那組給他最高分6分, 先定住
假設A team's least possible score是 (0,0,0)(5,1,0)(4,3,2) <== 第三組爆掉違反規則

假設(2,0,0)(5,1,0)(4,3,0) <== 仍舊第三組爆掉

假設(3,0,0)(5,1,0)(4,2,0) <== 合乎條件<=6, 這時候某一隊最低可能的分數是3