 Hi and welcome to the session. I am Shashi. Let us do one question. Question is state whether the following statements are true or false. Justify, first part is for an arbitrary binary operation star on a set n where n is the set of all natural numbers a star a is equal to a for every a belonging to n. Let us start with the solution now. The binary operation star on n that is the set of natural numbers is defined as a star a is equal to a for every a belonging to set of natural numbers. Clearly we can see this binary operation is not defined. This statement is false. So our required answer is false. This completes the session. Hope you understood the session. Have a nice day.