Question
Download Solution PDFThe number of commutative binary operation on the set A = {1, 2} is _______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The number of commutative binary operations on the set of n elements is \(n^{n(n+1) \over 2}\)
Calculation:
Given set A = {1, 2} has two elements
⇒ The number of commutative binary operations on the set A is \(2^{2(2+1)\over 2}\) = 23 = 8
∴ The correct option is (4).
Last updated on Jun 18, 2025
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