 Hi and welcome to the session. I am Shashi and I am going to help you to solve the following question. Question is, consider the binary operation and on the set 1, 2, 3, 4, 5, defined by a and b is equal to minimum of set a, b. Write the operation table of the operation and first of all let us understand the key idea to solve the given question. The operation star which is defined from a cross a to a if a is equal to set of a 1, a 2, a 3 till a n elements, then the operation table will be having n rows and n columns with ij's entry being a i star a j which is equal to the entry in ix row and jth column of operation table. Let us start with the solution now. We know we are given in the question a and b is equal to minimum of a, b. So we can say 1 and 1 is equal to 1 since 1 and 1 are both same numbers so minimum of them is 1 only. Now 1 and 2 is equal to 1 since minimum of 1 and 2 is 1 so 1 and 2 is equal to 1. Now 1 and 3 is equal to 1 since minimum of 1 and 3 is equal to 1. Now similarly we can write 1 and 4 is equal to 1, 1 and 5 is equal to 1 then 2 and 3 is equal to 2 since the minimum of 2 and 3 is 2. 2 and 4 is equal to 2, 5 is equal to 2. Similarly we can write 3 and 4 is equal to 3, minimum of 3 and 4 is 3 so 3 and 4 is equal to 3. 3 and 5 is equal to 3 and 4 and 5 is equal to 4. Minimum of 2 and 2 is equal to 2 similarly we can write 4 and 4 is equal to 4 and 5 and 5 is equal to 5. Now we have to write the operation table of the operation and on the set 1, 2, 3, 4, 5. Now we can see Duskett has 5 elements in it so our number of rows and columns would be equal to 5. Let us now write the operation table. We have made 5 columns and 5 rows. We know 1 and 1 is equal to 1, 1 and 2 is equal to 1, 1 and 3 is equal to 1, 1 and 4 is equal to 1, 1 and 5 is equal to 1. Now 2 and 1 is equal to 1 that is we have to fill the minimum of the i-th and j-th elements of the given set. So minimum of 2 and 1 is 1 so we have written 1 here. Now 2 and 2 is equal to 2, 2 and 3 is equal to 2, 2 and 4 is equal to 2, 2 and 5 is equal to 2. Similarly we can write 3 and 1 is equal to 1, 3 and 2 is equal to 2, 3 and 3 is equal to 3, 3 and 4 is equal to 3, 3 and 5 is equal to 3. Now 4 and 1 is equal to 1, 4 and 2 is equal to 2, 4 and 3 is equal to 3, 4 and 4 is equal to 4, 4 and 5 is equal to 4. Now 5 and 1 is equal to 1, 5 and 2 is equal to 2, 5 and 3 is equal to 3, 5 and 4 is equal to 4, 5 and 5 is equal to 5. So this is our required operation table. Please complete the session. Hope you understood the session well. Take care and goodbye.