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# If a set $A$ has 2 elements, then how many binary operations are possible in $A$ ?

(A) 8 (B) 12 (C) 16 (D) 20
Can you answer this question?

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