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Stuck here, help me understand: Which of the following binary operation is not associative?

Which of the following binary operation is not associative?

  • Option 1)

    Addition

  • Option 2)

    Subtraction

  • Option 3)

    Multiplication

  • Option 4)

    Union of 3 sets

 
Answers (1)
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As we learnt

 

Associative Binary operation -

 

(a * b) * c = a * (b * c)

- wherein

A binary operation * on a set A is a function * : A × A → A, such that, A × A → A  is said to be associative, if(a * b) * c = a * (b * c), for every a, b, c ∈ A

 

 Subtraction is not associative since (a-b)-c\neqa-(b-c)

 


Option 1)

Addition

Option 2)

Subtraction

Option 3)

Multiplication

Option 4)

Union of 3 sets

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