define the power of set A
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In mathematics, the power set (or powerset) of any set S, written P(S), ℘(S), P(S),ℙ(S) or 2S, is the set of all subsets of S, including the empty set and S itself.
varun1431:
how ?
here is an example
The set of all the subsets of a set"
Example: For the set {a,b,c}:
• The empty set {} is a subset of {a,b,c}
• And these are subsets: {a}, {b} and {c}
• And these are also subsets: {a,b}, {a,c} and {b,c}
• And {a,b,c} is a subset of {a,b,c}
And altogether they make the Power Set:
P(S) = { {}, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c} }
Example: For the set {a,b,c}:
• The empty set {} is a subset of {a,b,c}
• And these are subsets: {a}, {b} and {c}
• And these are also subsets: {a,b}, {a,c} and {b,c}
• And {a,b,c} is a subset of {a,b,c}
And altogether they make the Power Set:
P(S) = { {}, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c} }
this i got from net
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