Find an upper bound for n points if these n points in general position form empty convex pentagon I don't understand the meaning
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It's a bit vague, yes. "Points in general position" typically means that no three of them are on the same line. I'm not quite sure what they mean by "these $n$ points form empty convex pentagon". – Arthur Jan 04 '18 at 11:15
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1Is this intended to be a specific case of the happy ending problem? How many points are required to guarantee that five of them can be chosen which form a convex pentagon? – nickgard Jan 04 '18 at 13:44