A curious league table

This league table would break the heart of any Scot. It is the table of Group 2 of the final stages of the 1974 FIFA World Cup. Scotland failed to qualify from the group despite not losing any matches: the only team ever to do so.

Country Pld W D L GF GA GD Pts
Yugoslavia 3 1 2 0 10 1 +9 4
Brazil 3 1 2 0 3 0 +3 4
Scotland 3 1 2 0 3 1 +2 4
Zaire 3 0 0 3 0 14 −14 0

The mathematical interest in this league table, however, is that it is possible to work out, from the league table alone, the exact scores of all 6 matches in the group. Try it yourself!