Let S = {a,b,c}. Find the total number of binary operations on S.
Given set S = {a,b,c}, 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 = 3,
⇒
⇒
∴ The total number of binary operations possible on set ‘S’ is 39.