Question

If R is a relation from set A having four elements to set B having two elements, find the number of relations fron A to B.

Answer 1

Dear student
$$\begin{gathered} \mathrm{Given}:\mathrm{n}\left(\mathrm{A}\right)=4 \\ \mathrm{n}\left(\mathrm{B}\right)=2 \\ \mathrm{We}\mathrm{know}\mathrm{that}\mathrm{Number}\mathrm{of}\mathrm{relations}\mathrm{from}\mathrm{A}\mathrm{to}\mathrm{B}=2^{\mathrm{n}\left(\mathrm{A}\right)\times \mathrm{n}\left(\mathrm{B}\right)} \\ =2^{4\times 2} \\ =2^8 \\ =256 \end{gathered}$$
Regards