In a short league, five teams face each other against each other. In the end, neither pair of teams shares a score. The question is how far the fourth-placed team can go.

The tournament of ties

Strategist
Numerical territory

Riddle statement

Five teams play a round-robin league, in a single round.

Score:
- victory: 3 points;
- tie: 1 point for each team;
- defeat: 0 points.

In the end, the five teams finish with different scores.

What is the highest possible score for the fourth place team?