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The cardinality (size) of the power set of a set with n elements is 2n.

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The cardinality (size) of the power set of a set with n elements is 2n.

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The power set of a set, S, is the set containing all subsets of S - including S, itself, and the null set.

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It is the set comprising the following 4 elements:

  • phi,
  • {phi},
  • {{phi}} and
  • {phi, {phi}}
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The power set of a set, S, is the set containing all subsets of S - including S, itself, and the null set.

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If tiu have a set S, its power set is the set of all subsets of S (including the null set and itself).

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