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Solution


Q.

The number of non-empty equivalence relations on the set {1, 2, 3} is:          [2025]
1

5

 

2

6

 

3

7

 

4

4

 


Ans.

(1)

Partitions of set {1, 2, 3} is {{1}}, {2}, {3}}, {{1, 2}, {3}}, {{1, 3}, {2}}, {{2, 3}, {1}}, {{1, 2, 3}}

∴   Number of non-empty equivalence relations on the set {1, 2, 3} = 5.