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[Discrete Math] Fix a natural number n and let A = {1, 2, ..., n}. a. Is there an equivalence relation ~ on A with

[Discrete Math]

Fix a natural number n and let A = {1, 2, ..., n}.

a. Is there an equivalence relation ~ on A with the property that if k | l, then k ~ l ? If so, how many such equivalence relations?

b. Is there an equivalence relation ~ on A with the property that k | l if and only if k ~ l ? If so, how many such equivalence relations?

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