Question 19
11 points are given on a circle. Petryk numbered them with the numbers $1, 2, \ldots, 11$. After that, pairs of points were connected by segments: $1$ and $2$, $2$ and $3$, $\ldots$, $10$ and $11$, $11$ and $1$. What is the largest possible number of intersection points of these segments? The given 11 points are not counted as intersection points.

**Figure 4**

**Figure 4**