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# How many proper subsets are there for a set having 5 elements ?

$\begin{array}{1 1} 9 \\ 8 \\ 31 \\ 30 \end{array}$

Can you answer this question?

Toolbox:
• If a set has n elements then no. of subsets of the set = $2^n$
Null set and the same set are improper subsets of a set
Rest are proper subsets.
Set has 5 elements.
No. of subsets = $2^5$=32
No. of proper subsets =32-2=30.
answered May 15, 2013