Enigma 1559: Points for a win
22 February 2012
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From New Scientist #2722, 22nd August 2009 [link]
In a tournament in which each team played each of the other teams four times, with 2 points awarded for each win and 1 point to each team for a draw, the teams finished in the order Albion, Borough, City, Rangers, United, each team having a different number of points.
If 3 points had been awarded for each win and 1 point to each team for a draw, once again each team would have had a different number of points; but City would have won the tournament and none of the teams would have finished in the same position as with 2 points for a win.
11 matches were drawn, including the first match of the tournament. If I told you which teams played in that match you could deduce with certainty how many matches each team won, drew and lost. How many matches did each team win?
Enigma 1380 is also called “Points for a win”.