 Hello and welcome to this session, let us discuss the following problem. The number of binary operations on the set A, B, R, A, 10, B, 16, C, 20, D, 8. Now let us write each addition given to us as set F is equal to A, B. Let S be a finite set consisting of n elements then S cross S has n square elements. So binary operation on S is a function from S cross S to S. Therefore, the total number of binary operation S is equal to the number of functions, total number of functions of finite set A, of finite set B to the power n of A binary operations n square is equal to A, B. Number of binary operations is 2 to the power 2 square which is equal to 2 to the power 4 which is equal to 16. Hence the required answer is I hope you understood the problem by and have a nice day.