The number of commutative binary operation on the set A = {1, 2} is _______.

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AAI ATC Junior Executive 27 July 2022 Shift 3 Official Paper
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  1. 32
  2. 16
  3. 64
  4. 8

Answer (Detailed Solution Below)

Option 4 : 8
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Detailed Solution

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Concept:

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 \(2^{2(2+1)\over 2}\) =  28

∴ The correct option is (4).

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