(12) Line $l_{1}$ is parallel to line $l_{2}$, $l_{1}$ has 5 distinct points, and $l_{2}$ has 10 distinct points. Connecting the points on $l_{1}$ with the points on $l_{2}$ with line segments, if no three line segments intersect at the same point, then the number of intersection points between these line segments is $\qquad$ (answer with a specific number).
(12) 450 Hint: Any intersection point of two line segments, with 4 endpoints, two on $l_{1}$ and two on $l_{2}$, forms a quadrilateral with these endpoints, and this intersection point is the intersection of the diagonals of the quadrilateral. Therefore, any intersection point corresponds one-to-one with a quadrilateral that has two vertices on $l_{1}$ and two vertices on $l_{2}$. Thus, the total number of intersection points is $\mathrm{C}_{5}^{2} \mathrm{C}_{10}^{2}=$ 450.