7. In the last 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 once, while Austria scored three times.

What was the score of Austria-Denmark?

Note: It is recalled that, in each match played in the group, the winning team earns 3 points, 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) cannot be determined with the given data.
7. The answer is (B). In a group of 4 teams, each plays 3 matches, for a total of 6 matches overall. Since a win is worth 3 points, while a draw is worth only 1 point, to have the final standings as reported in the text, it is necessary that Austria won 2 matches and drew one; Brazil won one match and drew two, Cameroon won, drew, and lost once.

Cameroon scored only one goal, so their only win must have been with a score of 1-0, and necessarily against Denmark, which lost all matches. Cameroon conceded only one goal: having lost one match, they lost 0-1. The draw, therefore, was with a score of $0-0$.

Brazil did not suffer any defeats, so they won against Denmark and drew with Austria and Cameroon. On the other hand, Austria drew only once (with Brazil). Therefore, Austria-Cameroon ended 1-0. Brazil scored only one goal, necessarily in the match won against Denmark. Consequently, Austria-Brazil ended 0-0.

We know that Austria scored three goals and conceded one. By difference, the score of Austria-Denmark is 2-1.

Note that it is possible to determine the final score of each of the six matches in the group:

| Austria-Brazil | $0-0$ | Austria-Cameroon | $1-0$ | Austria-Denmark | $2-1$ |
| :--- | :--- | :--- | :--- | :--- | :--- |
| Brazil-Cameroon | $0-0$ | Brazil-Denmark | $1-0$ | Cameroon-Denmark | $1-0$ |