Which of the following binary operation is not associative?
Addition
Subtraction
Multiplication
Union of 3 sets
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)-ca-(b-c)
Option 1)
Addition
Option 2)
Subtraction
Option 3)
Multiplication
Option 4)
Union of 3 sets
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