Hi ,
If A is a set.
n(A) is called cardinal number of the set A = number of elements in set A
P(A ) is called power set of A.
Power set = p(A) = set of all subsets of set A
We now that
If number of elements in set A = n
n(A) = n
Number of subsets of power set
= 2 ^n
Given
P[ n(A)] = 64
2^n = 64
2 ^n = 2 ^6
Therefore,
n = 6
Since if a ^m = a ^n then m = n.
Number of elements in set A = n = 6
I hope this will useful to you.
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