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. 0b. 1c. 2d. 3e. 4

The correct option is D.

Step-by-step explanation:

Given information:

Total number of teams = 3

Total number of members in each team = 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 earned = 5+4+3+2+1=15

There were no ties, disqualifications, or withdrawals.

No team earned more than 6 points.

To minimize the score of a team, we have to maximize the score of the other two teams.

Let two teams earn there maximum score. i.e. 6. So the score of third team is

The least possible score a team could have earned is 3. Therefore the correct option is D.