How many equivalence relations can be defined on the set {1, 2, 3}?
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Answer: C. 5
An equivalence relation matches a way of splitting the set into classes: {123}, {1}{23}, {2}{13}, {3}{12}, {1}{2}{3} — 5 in all.
Tap an answer to check.
Answer: C. 5
An equivalence relation matches a way of splitting the set into classes: {123}, {1}{23}, {2}{13}, {3}{12}, {1}{2}{3} — 5 in all.