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Relations and Functions
If a set $A$ has 2 elements, then how many binary operations are possible in $A$ ?
(A) 8 (B) 12 (C) 16 (D) 20
jeemain
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class12
ch1
relations-and-functions
binary operation
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asked
May 29, 2013
by
rvidyagovindarajan_1
edited
Aug 6, 2014
by
vijayalakshmi_ramakrishnans
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1 Answer
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If a set has n elements then no. of binary operations in that set = $\large n^{n^2}$
No. of binary operations on a set having n elements=$\large n^{n^2}$
Here $n=2$
$\large 2^{2^2}=16$
answered
May 29, 2013
by
rvidyagovindarajan_1
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