The number of elements in the power set p(s) of the set s={0,1,{2,3} is
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So, B = {{1},{2},{3},{1,2},{2,3},{1,3},{1,2,3},{empty set}} and the number of elements are 8. We have defined a set as a collection of its elements so, if S is a set then the collection or family of all subsets of S is called the power set of S and it is denoted by P(S)
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8
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Power set of a set is the set of all possible sets formed by elements of the given set. Number of elements in set = n(B) = 3 . Therefore, Number of elements in power set = 2^n(B) =2^3 = 8 .
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