Points for a win
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?
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WIN 拢15 will be awarded to the sender of the first correct answer opened on Wednesday 23 September. The Editor鈥檚 decision is final. Please send entries to Enigma 1559, New 杏吧原创, Lacon House, 84 Theobald鈥檚 Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).
Answer to 1553 Squares from squares: The four squares are 1764, 3249, 5184 and 9801
The winner Matthew Daggitt of Kidlington, Oxfordshire, UK