UPSEE Solved Model Paper 6

We can solve this problem using definition of power set.
Power set:
The set of all subsets of a given set A is called the power set of A and is denoted by P(A).
Example:
If A = {1, 2, 3}, then P(A) = {∅ ,{1},{2},{3},{1,2},{1,3},{2,3} ,{1,2,3}} clearly, if A has n elements ,then its power set P(A) contains exactly 2n elements.
By using this definition of power set, we can find the answer.
We have
P(A) = Powerset of A
n(A) = m
We know that
The set of all subsets of a given set A is called the power set of A and is denoted by P(A).
n[P(A)] = total no: of possible subset of A
ie, n[P(A)] = 2m
Therefore,
Let P(A) denote the power set of A. If n(A) = m then
n[P(A)] = 2m