In a race of six athletes, Andrey fell behind Boris, and two athletes finished between them. Viktor finished after Dmitry but before Gennadiy. Dmitry outpaced Boris but still came after Yevgeny. What place did each athlete take?

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Could Andrey have been the first

## Solution

Let's denote the athletes by the first letters of their names. From the second condition: V, D, and G lined up in the following order: D, V, G (not necessarily right next to each other). From the third condition: D, B, and E lined up in the order: E, D, B. Since (from the first condition) there are two athletes between B and A, the order of the athletes' arrival is: E, D, B, two athletes, A. Now it is easy to determine the order of arrival: E - first, D - second, B - third, V - fourth, G - fifth, A - sixth.