Question

Write the total number of binary operations on a set consisting of two elements.

Answer 1

Number of binary operations on a set with n elements = $n^{n^2}$

$$\begin{gathered} \mathrm{Here}, \\ \mathrm{Number}\mathrm{of}\mathrm{binary}\mathrm{operations}\mathrm{on}\mathrm{a}\mathrm{set}\mathrm{with}2\mathrm{elements}=2^{2^2} \\ =2^4 \\ =16 \end{gathered}$$