## Task 2 - 170622

At a school sports festival, Christa, Doris, Elke, Franziska, and Gitta competed in the 60-meter sprint. When asked which places these five students would take at the finish line, some of the watching classmates made the following predictions:

(1) Christa will not come immediately before Elke at the finish line.

(2) Elke will either finish as the second-to-last or even achieve a better position.

(3) It is not true that Doris will not run faster than Gitta.

(4) Franziska will not finish in third place.

After the sprint was over, it was found that all five students had run different times and that all four predictions about the finish were false.

What is the actual order of the finish according to these statements?
Since (2) is false, Elke neither took the second-to-last place nor a better one, so she must have come in fifth. Since (1) is false, Christa finished immediately before Elke and thus came in fourth.

Since (4) is false, Franziska took the third place. Consequently, the first and second places remained for Doris and Gitta.

Since (3) is false, Doris did not run faster than Gitta. Since her time was also not the same as Gitta's, she must have taken the second place, and Gitta the first.

The actual finishing order of the race was therefore: Gitta, Doris, Franziska, Christa, Elke.