Q5 of 123 Page 3

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.


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