Question

the maximum number of equivalent relation on the set A={1, 2,3} are​

Answer 1

Question:

The maximum number of equivalent relation on the set A={1, 2,3} are​Answer:

5

Step By Step Explanation:

R1​ = {(1,1),(2,2),(3,3)}

R2 ​= {(1,1),(2,2),(3,3),(1,2),(2,1)}

R3 ​= {(1,1),(2,2),(3,3),(1,3),(3,1)}

R4 ​= {(1,1),(2,2),(3,3),(2,3),(3,2)}

R5 ​= {(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}

These are the 5 relations on A which are equivalence.

Hope you understand.