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Cardinality and Set Operations: A Journey into the World of Infinite Sets

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Multiple Choice

Which of the following sets has a cardinality of (\aleph_0)?

  1. The set of all natural numbers \(\mathbb{N}\)
  2. The set of all real numbers \(\mathbb{R}\)
  3. The set of all even integers \(2\mathbb{Z}\)
  4. The set of all prime numbers \(\mathbb{P}\)