Sunday Times Teaser 2608 – Football Logic
by John Owen
Published: 16 September 2012 (link)
In the logicians’ football tournament, each of three teams (captained by Alf, Bert and Charlie) plays each other once, with three points for a win and one for a draw. In working out their order at the end of the tournament, “goals scored” are used to determine the order of teams with the same points total. Each captain only knows the scores in his own team’s games. At the end I asked the captains in turn whether they knew which position they had finished in. The replies were: Alf “no”; Bert “no”; Charlie “no”; Alf “yes”.
In which position did Charlie’s team finish, and what was the result in the game between the other two teams?