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MathNet 2007-part-02 — 187 problems (EN–VI) Question 74

Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)

Question 74

At the last football World Cup, group A ended with the following standings: Austria 7, Brazil 5, Cameroon 4, Denmark 0.
Austria and Cameroon each conceded one goal.
Brazil and Cameroon scored only once, while Austria scored three goals.
What was the score of Austria–Denmark?
Note: recall that in each match of the group the winning team earns 3 points and the losing team 0 points; in case of a draw each of the two teams earns 1 point.
(A) $1-0$
(B) $2-1$
(C) $2-0$
(D) $0-0$
(E) it cannot be determined from the given data alone.