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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Sets
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How many proper subsets are there for a set having 5 elements ?

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

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  • 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 by rvidyagovindarajan_1
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