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Let ‘*’ be defined on the set N. Which of the following are both commutative and associative?(a) a*b=a+b(b) a*b=a-b(c) a*b=ab^2(d) a*b=a^bThe question was posed to me in an online quiz.Enquiry is from Binary Operations in division Relations and Functions of Mathematics – Class 12

Answer» CORRECT answer is (a) a*b=a+b

For EXPLANATION I would say: The binary operation ‘*’ is both COMMUTATIVE and associative for a*b=a+b.

The operation is commutative on a*b=a+b because a+b=b+a.

The operation is associative on a*b=a+b because (a+b)+c=a+(b+c).


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