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Power set facts for kids

Kids Encyclopedia Facts

In mathematics, the power set of a set S, written as P(S) or \mathcal{P}(S), is the set of all subsets of S. In terms of cardinality, a power set is larger than the set it originates from. If S is a finite set with n elements, then P(S) would have 2^n elements.

Examples

  • The power set of \{2, 5\} is \{\{\}, \{2\}, \{5\}, \{2, 5\}\}.
  • The power set of \{3, 4, 10\} is \{\{\}, \{3\}, \{4\}, \{10\}, \{3, 4\}, \{3, 10\}, \{4, 10\}, \{3, 4, 10\}\}.

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See also

Kids robot.svg In Spanish: Conjunto potencia para niños

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Power set Facts for Kids. Kiddle Encyclopedia.