4. Contest (from 6th grade, 1 point). In one social network, a photo contest was held. Several photos were submitted to the contest, and each participant could rate each photo by giving it either 0 (do not like), 1 (not very like), or 2 (like very much).

Two categories were announced: the most attractive photo, which received the highest number of points, and the most repulsive photo, which was rated 0 points by the most participants. Could it happen that the same photo won in both categories?

![](https://cdn.mathpix.com/cropped/2024_05_06_b0cfd16a48f5c2afb303g-03.jpg?height=469&width=600&top_left_y=368&top_left_x=1316)
Solution. We will build a table showing how this can happen with just two photos and three voters.

|  | Photo 1 | Photo 2 |
| :--- | :---: | :---: |
| 1st voter | 2 | 1 |
| 2nd voter | 2 | 1 |
| 3rd voter | 0 | 1 |

Answer: yes, this is possible