Question: Please help me with this question 4. Let A be a finite set with |A| = n 2 1. (a) Show that R = A

Please help me with this question

4. Let A be a finite set with |A| = n 2 1. (a) Show that R = A X A is an equivalence relation on A. How may equivalence classes does R define in A? (b) Show that S = {(a, a) | a E A} is an equivalence relation on A. How may equivalence classes does S define in A? (c) Prove or disprove: T =0 C A x A an equivalence relation on A

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