Question:
List the members of the equivalence relation defined by the following partitions on X={1,2,3,4} also find the equivalence classes of 1,2,3 and 4 {{1,2,3,4}}
Answer:
Given, x = {1, 2, 3, 4}
Now, {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4), (4, 1), (4, 2), (4, 3), (4, 4)}
This is the required equivalence class.
Total member of equivalence relation = 16
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