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 withdrawls. If no team earned more than 6 points, what is the least possible score a team could have earned?
Rank  oints 1 5 2 4 3 3 4 2 5 1 6 -- Total score =1+2+3+4+5= 15 Since there are three teams and each score <=6 only three possibilities left -- 6+6+3 or 6+5+4 or 5+5+5 => The smallest (least) number is 3. So no team can score 1 or 2.