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Math Prize 2021 Problem 15

Source:

September 19, 2021
Math Prize for Girls

Problem Statement

There are 300 points in space. Four planes AA, BB, CC, and DD each have the property that they split the 300 points into two equal sets. (No plane contains one of the 300 points.) What is the maximum number of points that can be found inside the tetrahedron whose faces are on AA, BB, CC, and DD?
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