A) \[{{n}^{\left[ \frac{n(n+1)}{2} \right]}}\]
B) \[{{n}^{\left[ \frac{n(n-1)}{2} \right]}}\]
C) \[{{n}^{({{n}^{2}})}}\]
D) \[{{2}^{({{n}^{2}})}}\]
Correct Answer: A
Solution :
\[\because \] S be a finite set containing n elements. Then total number of commutative binary operation on S is \[{{n}^{\left[ \frac{n(n+1)}{2} \right]}}\]
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