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MathNet 2008-part-04 — 165 problems (EN–VI) Question 57

Math Olympiad Vault · MathNet 2008-part-04 — 165 problems (EN–VI)

Question 57

Determine the largest number of planes in three-dimensional space for which there exist six points satisfying the following conditions:

i) Each plane contains at least four of the points.
ii) No four of the points lie on the same line.