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What is the cardinality of the subset of 01 consisting of

Question: 1. Show that ℵ0 · ℵ0 = ℵ0.

2. What should ℵ2 mean?

3. What is the cardinality of the subset of [0,1] consisting of infinite decimal expansions with only the digits 2 and 5?

4. What is the cardinality of the set {1/k | k ∈ N}?

5. What is the cardinality of the set {P/Q | p,q ∈ N}?

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Mathematics: What is the cardinality of the subset of 01 consisting of

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Mathematics: What is the cardinality of the subset of 01 consisting of

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