MathDB

In a tournament, every team plays exactly once against every other team. One won match earns

3

points for the winner and

0

for the loser. With a draw both teams receive

1

point each. At the end of the tournament it appears that all teams together have achieved

15

points. The last team on the final list scored exactly

1

point. The second to last team has not lost a match. a) How many teams participated in the tournament? b) How many points did the team score in second place in the final ranking?

Problem Statement