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tion 5: Consider the human race. Suppose a person x is related to another human being y if x has the same father as y.

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tion 5: Consider the human race. Suppose a person x is related to another human being y if x has the same father as y. a) Prove that this is an equivalence relation. [1+2+2] b) Compute C(Thabane) and C(Mosisili) [2+2] c) Can C(Thabane) and C(Mosisili) ever intersect? If so, how so. If not, why not. [1+5] d) Compute the partition of the human race under this relation. [5]

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