Definition of

Power Set

Power Set
"The set of all the subsets of a set"

Example: For the set {a,b,c}:

• These are subsets: {a}, {b} and {c}
• And these are subsets: {a,b}, {a,c} and {b,c}
• And {a,b,c} is also a subset of {a,b,c}
• And the empty set {} is also a subset of {a,b,c}

And all the subsets together make the Power Set:

P(S) = { {}, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c} }

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