Question: prove the following (I 0 points) How many binary relations on S = {1,2, 3, 4,5, 6} are (a) irreflexive and symmetric? (b) reexive and

prove the following

prove the following (I 0 points) How many binary relations on S

(I 0 points) How many binary relations on S = {1,2, 3, 4,5, 6} are (a) irreflexive and symmetric? (b) reexive and antisymmetric? (c) How many of them are linear ordering relations? (d) How many of them are equivalence relations with maximal block size at least 4

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