Find the total number of binary operations on {a,b}
Given set S = {a,b}, we need to find the total number of binary operations possible for the set ‘S’.
We know that the total number of binary operations on a set ‘S’ with ‘n’ elements is given by .
Here n = 2,
⇒
⇒
⇒
∴ The total number of binary operations possible on set ‘S’ is 16.