A set has 10 elements. Then find number of
a) subsets of A
b) elements in powerset of A
c) Proper subsets of A
d) subsets having exactly one element.
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Step-by-step explanation:
If a set has n elements, then the number of its subsets is 2n . This includes a subset that is the empty set and one that is the set itself. However, a proper subset is a subset that is not equal to the empty set and the set itself. So the number of proper subsets of a set with n elements is 2n−2 2 n − 2 .
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