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"For any two real numbers x and y, x+y=y+x" is one of the condition in what binary operation?

Question

"For any two real numbers x and y, x+y=y+x" is one of the condition in what binary operation?

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Solution

The condition "For any two real numbers x and y, x+y=y+x" is known as the Commutative Property. This property is applicable in the binary operations of addition and multiplication.

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A binary operation is said to be commutative if:a.a * b = 1 for all values of a and bb.a * b = a for all values of a and bc.a * b = b for all values of a and bd.a * b = b * a for all values of a and b

Let ‘&’ be a binary operation defined on the set N. Which of the following definitions is commutative but not associative?

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