 Hello and welcome to the session. In this session, we will discuss the following question and the question says, which of the following pairs of sets are equal sets? Part A is, A is equal to set of letters of the word late. B is equal to set of letters of the word tale. Part B is, P is equal to the set containing the elements 1, 2, 3. Q is equal to the set containing natural numbers less than 4. And part C is, A is equal to the set containing the elements P, Q, R and B is equal to the set containing the elements A, Q, R. Before we start solving the question, let us first recall what are equal sets? Equal sets are two sets which contain exactly identical elements. So this is our key idea for this question and using this key idea, we will solve the question. Let's start the solution now. In part A, we have A is equal to set of letters of the word late and B is equal to set of letters of the word tale. We shall first list down the elements of the set A. So set A in rosed form is equal to the set containing the letters L, A, T, E. We shall now list down the elements of the set B. So set B in rosed form is equal to the set containing the letters T, A, L, E. We can see that both the sets A and V contain exactly identical elements irrespective of their order. Now going back to the key idea, we have equal sets are two sets which contain exactly identical elements. So we can say that the sets A and V are equal sets. Therefore, we have A equals B. Now in part B, we are given that set P is equal to the set containing the elements 1, 2, 3 and Q is equal to the set containing natural numbers less than 4. We know that natural numbers less than 4 are 1, 2, 3. So set Q in rosed form is equal to the set containing the elements 1, 2, 3. We can see that both the sets P and Q contain exactly identical elements. So set P and Q are equal sets. Therefore, we have P equals Q. In part C, we are given that set A is equal to the set containing the elements P, Q, R and set B is equal to the set containing the elements A, Q, R. We can see that the element P belongs to the set A but it does not belong to the set B. That is, P does not belong to B. Also the element A belongs to set B but it does not belong to set A. That is, A does not belong to set A. Thus we can say that the elements of sets A and B are not exactly identical. Therefore, A and B are not equal sets. With this we end our session. Hope you enjoyed the session.