Abstract
The purpose of this article is to determine the maximum number of regions into which n lines partition the plane—a problem that could be appropriate for some secondary school students. The solution, as presented here, draws on some basic geometric notions, some elementary counting techniques, and Euder’s formula for plane figures—that is, V — E + R = 1, where V is the number of vertices, E is the number of edges, and R is the number of regions.
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