Commutative and associative

Give an example of a binary operation (i) which is commutative as well as associative. (ii) which is neither commutative nor associative.

Consider a binary operation. on N defined a ** b = a^3 + b^3. Choose the correct answer. (A) Is ** both associative and commutative? (B) Is ** commutative but not associative? (C) Is ** associative but not commutative? (D) Is ** neither commutative nor associative?

Consider a binary operation ** on N defined as a**b=a^3+b^3 . Choose the correct answer. a) both associative and commutative b)commutative but not associative c) associative but not commutative d) neither commutative nor associative

Prove that the binary operation @ defined on QQ by a@b=a-b+ab for all a,b in QQ is neither commutative nor associative.

Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose the correct answer: Is ∗ neither commutative nor associative?

Determine whether * is commutative or associative if a**b=(ab)/6,a,bnotinR

Discuss commutativity and associativity ** on RR defined by a**b= min. (a,b) for all a,binRR.

Discuss the commutativity and associativity ** on QQ defined by a**b=ab+4 for all a,binQQ.

Check for commutativity and associativity @ on ZZ defined by a@b=a|b| for all a,binZZ .

Discuss the commutativity and associativity ** on RR defined by a**b=|a+b| for all a,binRR .