Eight players competed at a recent chess tournament. Knowing that:
Each player played all the others, exactly once.
Winning earns you 1 point; drawing, ½ point; and losing, 0 points.
Everybody ended with a different number of points.
The one who ended 2nd earned as many points as the four bottom players put together.
What was the result of the game between the player who ended 3rd and the player who ended 7th?
If the player who finished first won all their games and the player who finished second won all their games except for the one again player one and so on, then the final scores are
7 6 5 4 3 2 1 0
with the player finishing second with 6 points = 3 + 2 + 1 + 0 as the problem statement requires.
Since every player beats each player that finishes below them, 3 beats 7.
What am I missing? (spoilers)
