Let A = {1, 2, 3}. Find the number of binary operations on A.

Explanation

A = {1, 2, 3}
`A xx A rarr A` is a binary operation
Total elements in `A xx A` is 9
Total elements in A is 3
Number of binary operations is `3^(9)`.
(`because` Every element of `A xx A` can be associated to any of three elements of A.)