Question

Maximum number equivalent relation on set A={1,2,3}

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Answer 1

Answer:

Maximum number = 5

Step-by-step explanation:

All possible relations

1) {(1,1),(2,2),(3,3)}

2) {(1,1),(2,2),(3,3),(1,2),(2,1)}

3) {(1,1),(2,2),(3,3),(1,3),(3,1)}

4) {(1,1),(2,2),(3,3),(3,2),(2,3)}

5) {(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(3,2),(2,3)}