The answers to exercises marked IBB] can be found in the Back of the Book.
(a) List all the equivalence relations on the set {a}. How many are there altogether?
(b) Repeat (a) for the set [a, /?}.
(c) [BB] Repeal (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.)
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