Class 11 Maths Sets Power Set

Power Set

The collection of all subsets of a set A is called the power set of A.

E.g. Consider the set {1, 2}. Let us write down all the subsets of the set {1, 2}.

Subsets of {1,2} are:  φ, { 1 }, { 2 } and { 1, 2 }. 

The set of all these subsets is called the power set of { 1, 2 }.

In general, if A is a set with n (A) = m, then it can be shown that n [ P(A)] = 2m

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