Stage: 3 Challenge Level: 
In a league of 5
football teams which play in a round robin tournament (i.e.
two teams play each other once only with no ties/draws
allowed) show that it is possible for all five teams to be
league leaders.
In a league of 6 hockey teams which play in a round robin tournament (i.e. two teams play each other once only with no ties/draws allowed) show that it is impossible for all six teams to be league leaders.
Mathematical reasoning & proof. Mathematical modelling. Time. Working systematically. Stage 3&4 Investigation. Processing and representing data. Visualising. Secondary shorts. Selecting and using information. Combinations.
Published June 2003.
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