HSC Science (General) 11thMaharashtra State Board
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# Power Set

#### notes

The collection of all subsets of a set A is called the power set of A. It is denoted by P(A). In P(A), every element is a set.
If A= {a, b, c} then the possible sets are
{}, {a}, {b}, {c}, {a,b}, {b,c}, {c,a}, {a,b,c}
Power set is represented as P(A)
P(A)= {{}, {a}, {b}, {c}, {a,b}, {b,c}, {c,a}, {a,b,c}}
In general, if A  is a set with n(A) = m, then it can be shown that n [ P(A)] = 2^m.
In above example m= 3, [P(A)]= 2^3= 8

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Power Set [00:04:05]
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