A set of $20000$ points is chosen in a ball of radius $6$ in $ \mathbb{R}^3 $. Do there exist $10$ ones of these points s. t. all the distances between them are less than or equal to $1$?
2026-03-27 01:46:24.1774575984
Is it possible to choose 10 points from 20000 with that property?
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