Question

The number of binary operations that can be defined on a set of $2$ elements is

• A. $8$
• B. $4$
• C. $16$
• D. $64$

Answer 1

Answer: (C)

$16$

Answer 2

The number of binary operations on a set consisting of $n$ elements $=n^{n^2}$ $\therefore$ Required no. of binary operations $=2^{2^2}=16$