Question: Let A = {a,b} be a set with two elements. Let A1 = A, A2 = AA and for n N, let An = An1

Let A = {a,b} be a set with two elements. Let A1 = A, A2 = AA and for n N, let An = An1 A. How many elements does An have? Prove your result. Hint: The problem screams for induction.

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