Sets Questions with Answer (Need Explanation)

2. 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 is:

1. Get total number of points : (6-1) + (6-2) + (6-3) + (6-4) + (6-5) = 5 . 4 . 3 . 2. 1 = 15

2. Max points earned is 6

3. min of 3 teams = 15 - 2 * max of 2 other teams = 15 - 2 * 6 = 3

Step 3 I don't understand, where did the variables come from in the text: I.E. Min of 3 teams, 2 other teams (why is this being substracted from the total points) and why are we multiplying by 6?

Thanks in Advance.