#### 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