list all the equivanlance relations in the set A={1,2,3,4)
so there should be 15 right? so what I got so far (1 1) (22) (33) (44) (12) (13) (14) (21) (23) (24) (31) (32) (34) (41) (42) (43) these are 16 what did i do wrong
list all the equivanlance relations in the set A={1,2,3,4)
so there should be 15 right? so what I got so far (1 1) (22) (33) (44) (12) (13) (14) (21) (23) (24) (31) (32) (34) (41) (42) (43) these are 16 what did i do wrong
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Since equivalence relations must be reflexive, symmetric, and transitive we must apply this definition to set A. It might be a good idea to think of directed graphs when listing out the equivalence relations.
To start with, {(1,1),(2,2),(3,3),(4,4)},{(1,1),(2,2),(3,3),(4,4),(1,2),(2,1)},... I am sure you can continue from there.