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seen Jan 2 '13 at 14:32

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awarded  Scholar
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accepted Algorithm creating subsets with certain properties
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comment Algorithm creating subsets with certain properties
Thanks, interesting and simple solution! So we know how to get 210 sets, and now I must think harder and try to find a way to make less sets.
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comment Algorithm creating subsets with certain properties
One more remark: I am trying also make "n" small as possible. I see one way to solve the problem, but not much elegant: I can generate 24 sets Ai with random numbers, then check all possible 13,983,816 6-element subsets of A (using Java), and then for those 6-element subsets, that are not contained in any Ai, generate additional Ai sets. In this way I can not get n small as possible.I thought, maybe there is more elegant mathematical way to solve my problem.
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comment Algorithm creating subsets with certain properties
Thanks! Yes, or in other words: to make sure that any 6-element subset of A is contained at least in one of sets Ai.
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awarded  Student
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asked Algorithm creating subsets with certain properties