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Answer:
The least possible score a team could have earned is 3.
Step-by-step explanation:
From the given information it is clear that the total number of teams is 3.
Total number of members in each team is 3.
A team earned 6 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 5.
It means the points for 1st, 2nd, 3rd, 4th, and 5th place are 5, 4, 3, 2 and 1 respectively.
Total points that can be earned all teams together = 5+4+3+2+1=15
There were no ties, disqualifications, or withdrawals.
To minimize the score of a team, we have to maximize the score of the other two teams.
It is given that no team earned more than 6 points,
Let two teams earn there maximum score. i.e. 6. So the score of third team is
Therefore, the least possible score a team could have earned is 3.