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

Asked by akash chaturvedi | 2nd Apr, 2011, 12:00: AM

Expert Answer:

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
Team Topper

Answered by  | 4th Apr, 2011, 02:53: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.