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- Try this! Which of the following binary operations is not associative?
- #Joint Entrance Examination Main
- #All India Pre Medical Test
- #Maths
- #Engineering
- #Sets, Relations and Functions
Which of the following binary operations is not associative?
- Option 1)
Union of sets i.e AUB
- Option 2)
Difference of sets i.e A-B
- Option 3)
Intersection of sets i.e A
B
- Option 4)
Addition of numbers
Answers (1)
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
Since A-(B-C)(A-B)-C
These two sets are not identical.
Option 1)
Union of sets i.e AUB
Option 2)
Difference of sets i.e A-B
Option 3)
Intersection of sets i.e A B
Option 4)
Addition of numbers
View full answer
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