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Let a binary operation '*' be defined on a set P. The operation will be commutative if ___________.
Question

Let a binary operation '*' be defined on a set P. The operation will be commutative if ___________.

A.

x*y=y*x

B.

x*y=x

C.

(x*y)*z=x*(y*z)

D.

(y o z)*x=(y*x) o (z*x)

Correct option is A

Commulativity requires that the result of the operation remains unchanged regardless of the order of the operands.

Mathematically, this is expressed as a*b=b*a for all elements a,b in the set P.

Example: For P = R, addition (+) is commutative since a+b=b+a for any real numbers a,b.

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