1.

What is the total number of binary operations on the set {a, b}.

Answer»

We know that the total number of binary operation on set of cardinality n is \({n^n}^n\)

Since, the set {a, b} is having two elements. 

Therefore, the total number of binary operations on the set {a, b} is \({2^2}^2\) = 24 = 16.



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