Number of binary operations on the set {a, b} are
Number of binary operations on the set {a, b} are
10
16
20
8
The Correct Option is B
Solution and Explanation
A binary operation * on {a, b} is a function from {a, b} × {a, b} \(\to\) {a, b}
i.e., * is a function from {(a, a), (a, b), (b, a), (b, b)} \(\to\) {a, b}.
Hence, the total number of binary operations on the set {a, b} is \(2^4\) i.e., 16.
The correct answer is B (16).
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