Question

Let $A=\{a, b\}$. Find the number of binary operations on $A$.

Answer 1

 SOLUTION : $\mathrm{A}=\{\mathrm{a}, \mathrm{b}\}, \quad \therefore \mathrm{n}(\mathrm{A})=2$

$\therefore$ Number of binary operations on $A=2^{\left(2^2\right)}=2^4=16$.