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Question

Which of the following binary operation is not commutative?


A

Addition

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B

Multiplication

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C

Subtraction

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D

None of these

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Solution

The correct option is C

Subtraction


For a binary operation to be commutative, we need a b = b a for all a and b.

For multiplication and addition, this is true because ab = ba and a+b = b+a. But for subtraction a-b is not equal to b-a for all a and b. So it's not commutative.


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