Tuesday, March 27, 2018

Problem 28: World Cup Standing


In the World Cup’s group stage, each group of four teams plays a round robin, with every team playing the other teams once each. A win is worth 3 points, a draw 1 point, and a loss 0 points. The points are tallied, and the top two teams in each group advance to the knockout stage. For a given group — let’s pick Group A, which includes Russia, Saudi Arabia, Egypt, and Uruguay — how many different final standings, including point totals, are possible for the group stage?

Source: fivethirtyeight

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