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 :

  1. A.

    4

  2. B.

    24

  3. C.

    25

  4. 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)

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