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Prove that the set F(N) of all finite subsets of N is countably infinite. Hint: Consider for all n N the set Sn of all

Prove that the set F(N) of all finite subsets of N is countably infinite. Hint: Consider for all n N the set Sn of all finite subsets of N whose maximal element is n. You are free to quote other questions from this assignment.

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