Creating Groups, Minimal Overlap
Suppose I have 6 letters, A-F.
I want to create 2 groups of 3 for each letter.
Is it possible to create 4 such groupings such that:
Every letter is in a group with every letter at least once but not more than twice?
I'm thinking its not, but can't quite prove it.
I'm creating a simplified version of creating 4 groups of 6 from 24, using 6 pairings such that every letter is matched with every other at least once but not twice. There has to be a good method to this.
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