Question

Let A = {1, 2}. Find the number of possible binary operations defined on A.

Answer 1

Number of possible binary operation on A
$= { {n}^{n} }^{2} \\ = { {2}^{2} }^{2} \\ = {2}^{4} \\ = 16 \: \: ans$
n: number of elements in the set.