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(a) List all the equivalence relations on the set {a}. How many are there altogether? (b) Repeat (a) for the set {a, b}. (c) [BB] Repeat (a) for the set {a, b, c}. (d) Repeat (a) for the set {a, b, c, d}. (Remark: The number of partitions of a set of n elements grows rather rapidly. There are 52 partitions of a set of five elements, 203 partitions of a set of six elements, and 877 partitions of a set of seven elements.) | Numerade
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