Which of the following binary operations are not commutative?
a*b=a+b
a*b=ab
a*b*c=a+b+c
a*b*c=ab+c
As we learnt
Commutative Binary operation -
a * b = b * a
- wherein
A binary operation * on a set A is a function * : A × A → A. It is called commutative, if a * b = b * a, for every a, b ∈ A.
This operator is not commutative.
Option 1)
a*b=a+b
Option 2)
a*b=ab
Option 3)
a*b*c=a+b+c
Option 4)
a*b*c=ab+c
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