The binary operation "⊙" is associative if:a.(a ⊙ b) ⊙ c = a ⊙ (b ⊙ c) for all values of a, b, and cb.(a ⊙ b) ⊙ c = a ⊙ b for all values of a, b, and cc.(a ⊙ b) ⊙ c = c for all values of a, b, and cd.(a ⊙ b) ⊙ c = 1 for all values of a, b, and c

Let * be a binary operation in the set of natural numbers ℕ defined as   i.e. the absolute value of . Then, * has associative property.Question 2Select one:TrueFalse

Let ‘&’ be a binary operation defined on the set N. Which of the following definitions is commutative but not associative?ans.a & b=a-ba & b=aba & b=ab – 8a & b=a+b Previous Marked for Review Next

"For any three real numbers x, y, and z, x∙(y∙z)=(x∙y)∙z" is one of the condition in what binary operation?

A binary operation is said to be commutative if:a.a * b = 1 for all values of a and bb.a * b = a for all values of a and bc.a * b = b for all values of a and bd.a * b = b * a for all values of a and b

A binary operation is said to be distributive if:a.a * (b + c) = a * b + a * c for all values of a, b, and cb.a * (b + c) = a + b + c for all values of a, b, and cc.a * (b + c) = b * c for all values of a, b, and cd.a * (b + c) = 1 for all values of a, b, and c