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P2.8.5 Let A = {1,2,3}. There are exactly 512 different possible binary relations on A. (a) Describe how you could list them all, given enough

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P2.8.5 Let A = {1,2,3}. There are exactly 512 different possible binary relations on A. (a) Describe how you could list them all, given enough time. (b) How many are reflexive? How many symmetric? How many antisymmetric? (c) (harder) How many are both reflexive and transitive? (This probably requires an ex- haustive search.) (d) How many are equivalence relations? How many are partial orders

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