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Gerry Myerson
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The whole questionDoes a 10-element set have 30 3-element subsets such that each pair is in the title.two of these 30 subsets?

The whole question is in the title.

Does a 10-element set have 30 3-element subsets such that each pair is in two of these 30 subsets?

Post Reopened by André Henriques, David E Speyer, Douglas Zare, Will Sawin, Benjamin Steinberg
Post Closed as "too localized" by Bill Johnson, Steven Landsburg, Andrés E. Caicedo, Felipe Voloch, Chris Godsil
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Does a 10-element set have 30 3-element subsets such that each pair is in two of these 30 subsets?

The whole question is in the title.