A binary operation on a set has always the identity element.

True or False statements : A binary operatio on a set has always the identity element.

Let * be an associative binary operation on a set S with the identity element e in S. Then. the inverse of an invertible element is unique.

Definition and Theorem: Let * be a binary operation on a set S.If S has an identity element for * then it is unique.

A={1,2,3,4,6},ast is a binary operation on A is defined as aastb=HCF of a and b. Draw its operation table. Write a commutative binary operation on A with 3 as the identity element. ( Hint: Operation table may be used.

Define a binary operation on a set

Define a binary operation on a set.

Define a binary operation on a set.

Write the total number of binary operations on a set consisting of two elements.

Write the total number of binary operations on a set consisting of two elements.

The total number of binary operations on the set S={1,2} having 1 as the identity element is n . Find n .