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Sticky Note
The cardinality of the power set of {x: x ∈ N, x ≤ 10} is?
  1. 2023
  2. 2048
  3. 1024
  4. None of these
Explanation

The set {x: x ∈ N, x ≤ 10} has 10 elements (1, 2, 3, 4, 5, 6, 7, 8, 9, 10).

The cardinality of the power set of a set with n elements is 2^n.

So, the cardinality of the power set is 2^10 = 1024.

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