A) \[{{n}^{n}}\]
B) \[{{2}^{{{n}^{2}}}}\]
C) \[{{n}^{{{n}^{2}}}}\]
D) \[{{n}^{2}}\]
Correct Answer: C
Solution :
Since a binary operation on is a function from \[S\times S\]to S, therefore the total number of binary operation on S is the total number of function from \[S\times S\]to S which is \[{{n}^{{{n}^{2}}}}.\]
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