Question
Sat April 02, 2011 By: Akash Chaturvedi

what is the no of proper subsets of a given finite set with N element

Expert Reply
Mon April 04, 2011
Dear student
Your question is:
What is the no of proper subsets of a given finite set with N element.
Sol.
No of subsets of a set having N elements = 2N.
But the empty set (Ø) and the set itself are not the proper subsets.
Therfore the number of proper subsets of a set having N elements = 2N - 2.
For example, if n(A) = 3
number of subsets of A = 23 = 8
and no of proper subsets = 8 - 2 = 6
Hope it resolve your quarry.
Regards
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