4-5. Given a figure consisting of 33 circles. You need to choose three circles that are consecutive in one of the directions. In how many ways can this be done? The image shows three of the desired ways.

![](https://cdn.mathpix.com/cropped/2024_05_06_1d29d5cb430346a58eb5g-02.jpg?height=369&width=366&top_left_y=1409&top_left_x=845)
Answer: 57.

Solution. The number of options along the long side is $1+2+3+4+5+6=21$. Along each of the other two directions, it is $-4+4+4+3+2+1=18$. The total number of options is $21+18 \cdot 2=57$