Subtraction of integers is (a)commutative but not associative (b)commutative and associative (c)associative but not commutative (d) neither commutative nor associative

Let * be a binary operation on R defined by a*b= a b+1 . Then, * is (a)commutative but not associative (b)associative but not commutative (c)neither commutative nor associative (d) both commutative and associative

Let * be a binary operation on R defined by a*b=a b+1 . Then, * is commutative but not associative associative but not commutative neither commutative nor associative (d) both commutative and associative

On the power set P of a non-empty set A, we define an operation * by X * Y=( X^-nn Y) uu (X nn Y^- ) Then which are the following statements is true about 1) commutative and associative without an identity 2)commutative but not associative without an identity 3)associative but not commutative without an identity 4) commutative and associative with an identity

If * is a binary operation in N defined as a*b =a^(3)+b^(3) , then which of the following is true : (i) * is associative as well as commutative. (ii) * is commutative but not associative (iii) * is associative but not commutative (iv) * is neither associative not commutative.

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

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

Matrix addition is associative as well as commutative.

Matrix m ultiplication is commutative.

Define a commutative binary operation on a set.

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