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Discuss the commutativity and associativity of the binary oper
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Discuss the commutativity and associativity of the binary operation * on R defined by

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Question 1
Find the total number of binary operations on .

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Question 2
Show that the binary operation * on defined as for all is commutative and associative on Also find the identity element of in and prove that every element of A is invertible.

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If then the value of is

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Question Text
Discuss the commutativity and associativity of the binary operation * on R defined by