Enigma 185: League reform
20 April 2014
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From New Scientist #1330, 4th November 1982 [link]
Our local league has four teams, each of whom plays each other once each season. The league table at the end of last season is (with each digit replaced consistently by a letter) partly shown below. This was on the old scheme of two points for a win and one for a draw, and the teams are shown in order of merit (with goal difference deciding the order in the event of ties on points).
In order to decide whether to switch to the new scheme of three points for a win and one for a draw, we’ve worked out what the table would look like under this new scheme, and that is partly shown too.
What were the scores in the six matches? (In the order AvB, AvC, AvD, BvC, BvD, CvD).