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. b) Compute C(Thabane) and C(Mosisili) c) Can C(Thabane) and C(Mosisili) ever intersect? If so, how so. If not, why not. d) Compute the partition of the human race under this relation.

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