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Answer to Question #8996 in Visual Basic for ruic

Question #8996
Is there a formula to arrange 4845 subsets of 4 elements each into the least number of sets of 6 elements each?
example: if I have a set of 20 integers (1,2,3,...19,20), and arrange them into a list of subsets with 4 elements each, then I will end up with 4845 subsets with 4 elements each. Now, how do I set about to list these 4845 subsets so that I end up with the LEAST number of SETS of 6 elements each that contain ALL the subsets (4845)?
Thanks
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