The number of equivalence relations of the set {1,2,3,4} is :
2018
The number of equivalence relations of the set {1,2,3,4} is :
- A.
4
- B.
24
- C.
25
- D.
15
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Correct answer: D
The number of equivalence relations on a set equals the number of partitions of the set (the Bell number). Compute the Bell number B4 using Stirling numbers of the second kind S(4,k): S(4,1) = 1 (all elements in one block)