what is the number of subset and proper subset of a set containing n elements
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The number of sets of a set containing n-elements =2^n .
A proper subset of a set is the set whose elements are in the given set, but it is not equal to the set.
Let S be a subset of A, S is called Proper subset if and only if it is a subset of A, and S ≠ A .
So, The number of proper subsets of a set containing n-elements is
As, The number of subsets contains a improper subset that is the set itself, so 1 is subtracted from number of total subsets to get number of proper subsets.
Hope you understand
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