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Sunday Times Teaser 2942 – What Do Points Make

by Nick MacKinnon

Published February 10 2019 (link)

In the Premier League table a team’s points are usually roughly equal to their goals scored (Burnley were an interesting exception in 2017-18). That was exactly the case in our football league after the four teams had played each other once, with 3 points for a win and 1 for a draw.

A ended up with the most points, followed by B, C and D in that order. Fifteen goals had been scored in total, and all the games had different scores. The best game finished 5-0, and the game BvD had fewer than three goals.

What were the results of B’s three games (in the order BvA, BvC, BvD)?

3 Comments Leave one →
  1. Brian Gladman permalink

    Here is my solution using my football solver class:

  2. John Z permalink

    My program came up with two solutions: yours and:

    BvA: 0-5, BvC: 2-2, BvD: 2-0 (AvC: 0-0, AvD: 2-0, CvD: 1-1) points and goals A=7, B=4, C=3, D=1

    So the problem statement is incorrect in implying that there is only one solution.

  3. John Z permalink

    Please ignore my previous comment which is erroneous

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