The maximum number of equivalence relations on the set A = {1, 2, 3} is:
The maximum number of equivalence relations on the set A = {1, 2, 3} is:
- A. 3
- B. 5
- C. 9
- D. 27
Answer: B) 5
Explanation: The number of equivalence relations on a set is given by the Bell numbers. For a set of 3 elements, the partitions are: {1,2,3}, {1},{2,3}, {2},{1,3}, {3},{1,2}, and {1},{2},{3}. Total = 5.
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