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IMSO 2005 Mathematics — Taiwan Selection Essay Question 7

IMSO Maths · IMSO 2005 Mathematics — Taiwan Selection Essay

Question 7

In a soccer tournament eight teams play each other once, with two points awarded for a win, one point for a draw and zero for a loss. How many points must a team score to that it is in the top three (i.e. has more points than at least five other teams)?