## Task 3 - 140623

Anita, Brigitte, Christa, and Dana competed against each other. When asked who took the first, second, third, and fourth place, the following three statements were made:

(1) Anita won, Brigitte took second place.

(2) Anita took second place, Christa took third.

(3) Dana took second, Christa took fourth place.

It turned out that in each of the three statements (1), (2), (3), one placement was correct and one was wrong.

Who took the first, second, third, and fourth place?
Assuming that Brigitte's placement in statement (1) is correctly given, then the positions of Anita in (2) and Dana in (3) would be incorrectly given, and consequently, Christa would have to have taken both the third and the fourth place, which is not possible.

Therefore, in (1) the placement of Anita is correct and that of Brigitte is incorrect, i.e., Anita took the first place and Brigitte did not take the second place.

After that, in (2) Anita's position is incorrect and Christa's position is correctly given. It follows that in (3) Christa's position is incorrect and Dana's position is correctly given. Thus, Anita took the first place, Dana the second, Christa the third, and Brigitte the fourth.