Question
Let $S=\{a, b, c\}$. Find the total number of binary operations on $S$.
✓
Answer
Number of binary operations on a set with $n$ elements is $n ^2$.
Here, $S=\{a, b, c\}$
Number of elements in $S=3$
Number of binary operations on a set with 3 elements is $3^{3^2}=3^9$
Here, $S=\{a, b, c\}$
Number of elements in $S=3$
Number of binary operations on a set with 3 elements is $3^{3^2}=3^9$
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