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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)

• Option 2)

Subtraction

• Option 3)

Multiplication

• Option 4)

Union of 3 sets

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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$\neq$a-(b-c)

Option 1)

Option 2)

Subtraction

Option 3)

Multiplication

Option 4)

Union of 3 sets

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