Puzzle 32: Cricket (4 teams)
26 December 2018
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From New Scientist #1083, 22nd December 1977 [link]
A, B, C and D are all to play each other once at cricket. After some — or possibly all — the matches have been played, A had got 18 points, B had got 17 and C had got 21. I’m afraid however, that I was not able to find out how many points D had got.
Points are awarded as follows:
To the side that wins — 10
To the side that wins on the first innings in a drawn match — 6
To the side that loses on the first innings in a drawn match — 2
To each side for a tie — 5
To the side that loses — 0.
Find the results of all the matches that were played.