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Home  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class11  >>  Sets

The no. of subsets of a finite set A is 56 more than the no. of subsets of another finite set B. What is the no. of elements of A?

$\begin{array}{1 1} 5 \\ 6 \\ 7\\ 8 \end{array}$

1 Answer

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  • No. of of subsets of a set having n elements =$2^n$
Let n(A)=n and n(B)=m
$2^n=56+2^m$
$\Rightarrow\:2^n-2^m=56$
$\Rightarrow$ n=6 and m=3
$\Rightarrow\:$No. of elements of A=6
answered May 1, 2013 by rvidyagovindarajan_1
edited May 17, 2014 by rohanmaheshwari0831_1
 
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