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Teacher Committees

Best Answer superprismatic, 28 June 2013 - 09:06 PM

Spoiler for one possible teacher-committee assignment
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Posted 27 June 2013 - 07:50 PM

Fifteen college teachers (A,B,...,O) must serve on a total of twenty committees (1-20), such that:
i) Each teacher is on exactly four committees,
ii) Each committee has three teachers on it,
iii) No two committees have more than one teacher in common.
List (or accurately describe) such a committee structure, or else prove it can't exist.

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#2 superprismatic


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Posted 28 June 2013 - 09:06 PM   Best Answer

Spoiler for one possible teacher-committee assignment

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