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2023 AIME I Problems/Problem 3

Revision as of 13:54, 8 February 2023 by S214425 (talk | contribs) (Created page with "Unofficial problem statement: In a plane there exists <math>40</math> lines, none of which are parallel. There are <math>3</math> points in which exactly <math>3</math> lines...")
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Unofficial problem statement: In a plane there exists $40$ lines, none of which are parallel. There are $3$ points in which exactly $3$ lines intersect, $4$ points in which exactly $4$ lines intersect, $5$ points in which exactly $5$ lines intersect, and $6$ points in which exactly $6$ lines intersect. There are no points in which more than $6$ lines intersect. How many points are there in which exactly $2$ lines intersect?

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