The binary operation * defined on `N` by `a*b=a+b+a b` for all `a ,\ b in N` is (a) commutative only (b) associative only (c) commutative and associative both (d) none of these

The binary operation * defined on N by a*b=a+b+ab for all a,b in N is (a) commutative only (b) associative only (c) commutative and associative both (d) none of these

A binary operation * on Z defined by a*b= 3a+b for all a ,\ b in Z , is (a) commutative (b) associative (c) not commutative (d) commutative and associative

A binary operation * on Z defined by a*b=3a+b for all a,b in Z, is (a) commutative (b) associative (c) not commutative (d) commutative and 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.

Let * be a binary operation on Z defined by a*b=a+b-4 for all a,b in Z. show that * is both commutative and associative.

Let * be a binary operation on Z defined by a*b= a+b-4 for all a ,\ b in Zdot Show that * is both commutative and associative.

Let * be a binary operation on N given by a**b=LCM(a, b) for all a, b in N . (i) Is * commutative. (ii) Is * associative.

Is the binary operation ** defined by Q by a**b=(a+b)/2 for all a,b in Q commutative and associative?

Let * be a binary operation on N defined by a*b = a^(b) for all a,b in N show that * is neither commutative nor associative

On Z an operation * is defined by a*b= a^2+b^2 for all a ,\ b in Z . The operation * on Z is (a)commutative and associative (b)associative but not commutative (c) not associative (d) not a binary operation