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Unformatted text preview: with at most 4 objects of any one kind in each of the following two ways: [Obtain a numerical answer each time.] (a) by the Principle of Inclusion-Exclusion; (b) by constructing an appropriate generating function and evalu-ating an appropriate coecient. 4. Construct two non-isomorphic, self-dual, rank 3 matroids on 6 ele-ments; also construct a rank three matroid on 6 elements that is iso-morphic to its dual but not self- dual. 5. (a) Dene a projective plane, dene Latin square and dene or-thogonal Latin squares. (b) State a theorem that relates projective planes and orthogonal Latin squares and sketch its proof. 1...
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This note was uploaded on 06/19/2011 for the course MATH 680 taught by Professor Na during the Spring '11 term at University of North Carolina School of the Arts.
- Spring '11