![(HUN 3)](/media/m/e/a/9/ea9e911153cb6dc8e4411b86d15579f6.png)
In the plane
![4000](/media/m/e/2/8/e282b978ee2099f45842da7832124683.png)
points are given such that each line passes through at most
![2](/media/m/e/e/e/eeef773d19a3b3f7bdf4c64f501e0291.png)
of these points. Prove that there exist
![1000](/media/m/5/4/0/54013ecc32701bac5d60c672115a5719.png)
disjoint quadrilaterals in the plane with vertices at these points.
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$(HUN 3)$ In the plane $4000$ points are given such that each line passes through at most $2$ of these points. Prove that there exist $1000$ disjoint quadrilaterals in the plane with vertices at these points.