【Question 12】
As shown in the figure, line $a$ is parallel to line $b$. Line $a$ has 10 points, which are $a_{1}, a_{2}, a_{3}, \cdots, a_{10}$, and line $b$ has 11 points, which are $b_{1}, b_{2}, b_{3}, \cdots, b_{11}$. Connecting each point on $a$ with each point on $b$, many line segments can be obtained. It is known that no three line segments intersect at a point outside lines $a$ and $b$. The total number of intersection points of these line segments (excluding $a_{1}, a_{2}, \cdots, a_{10}, b_{1}, b_{2}, \cdots, b_{11}$) is $\qquad$.