Question

The number of binary operation that can be defined on a set of 2 elements is _________ .

Options

• 8

• 4

• 16

• 64

Answer 1

16

We know that the number of binary operations on a set of n elements is  \[n^{n^2}\]

So, the number of binary operations on a set of 2 elements is \[2^{2^2} ( 2^4 ), i . e . 16 .\]