涛涛数学一道题，请指点，谢谢大家！

lijia1301981

Q25:

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

Answer: D

benzine

A team earned 6 – n points whenever one of its members finished in nth place，就是说，第1名得6-1=5分，第二名得6-2=4分，...第五名得6-5=1分，所以总共能到的分数是1+2+3+4+5=15分。

而每支队得分都不超过6分，即小于等于6，那么如果要使某支队得分最少，必然另外两支队得分尽可能多，所以另外两支队最多都可以得6分，即一支队得5分和1分，另一支队得4分和2分，这样第三支队得分最少，即3分。

lijia1301981

明白了，多谢多谢啊！