MathDB

n > 10

teams take part in a football tournament. Every team plays exactly once against each other. A win gives two points, a draw a point, and a defeat no point. After the tournament it turns out that each team gets exactly half their points in the games against the bottom

10

teams has won (in particular, each of these

10

teams has won the made half their points against the

9

remaining). Determine all possible values of

n

, and give an example of such a tournament for these values.

Problem Statement