What is Binary Operation (*)? Binary Operation in Group Theory for IIT JAM/BSc/JEE#shorts

Binary Operations

Define a binary operation on a set.

Number of binary operations

Commutativity of binary operations

Associativity of binary operations

Define a commutative binary operation on a set.

Distributivity of binary operations

Define an associative binary operation on a set.

Examine which of the following is a binary operation : (i) a**b=(a+b)/(2),a,binN For binary operation, check the commutative and associative property.

Find the total number of binary operations on {a,b}.