Power Set

Author

Eric W. Weisstein
January 2, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SetTheory/PowerSet.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/PowerSet.html.

©2007 Wolfram Research, Inc. except for portions noted otherwise

Power Set of {1,2,3}

Subsets[Range[3]]//ColumnForm

Length of power sets

Table[Length[Subsets[n]],{n,4}]

Power sets of power sets

Subsets[Subsets[{1}]]//ColumnForm

Table[Length[Subsets[Subsets[Range[n]]]],{n,4}]