 Hello and welcome to the session. In this session we will learn about subsets. Now if A and B are two sets such that every element in B then a subset is at least one element of A which is not a number of B, then we say that A is not a subset of B. And if A is not a subset of B is not a subset of P. Now let us discuss an example for the subsets of the letters of the word biggest. First of the set of letters of the word B, I, G, E, S is the set containing the elements B that every element of the set Q, set Q is in set P. Let A is a set containing the elements N, C and B is the set containing that B is the element of set A is not in set B, not a subset of B. Now when B, when A is a subset of B then, now let us see an example for this. The elements 1 and B is a set containing the elements 1, 2. Now here you can see that every element of set plus what is a proper subset and B of B is not equal to B then we say that a proper subset and we write thus A is not equal to P subset of B. Now let us see an example for this. Let A is a set containing the elements 1, 3, 5, 7 and 9 and B is the set containing the elements 1 and 3. Now here you can see that every element of set B or B is the subset of A. Therefore B is not equal to A, therefore B is the proper subset of how to calculate the number of subsets of a given set. Now a set containing, now let us see an example for this. Let A is a set containing the elements 1 and 2. Now all possible elements 2 and a set containing the elements 1 and set A is equal to, which is equal to 2 raised to power 2 that the 4 subsets of the set A are the set containing the elements, the empty set finding single element A and the set containing single element B. Therefore is equal to 2, therefore number of minus 1 which is equal to 2 raised to power 2 minus 1 which is equal to 4 minus 1 which is equal to 3 and these are proper subsets, proper subsets. Example for this, during the elements 1, 2, 3, B is the set containing the elements 2, 3, 4. That is this is the basic set to complement of a set of a universal or not in the set A. This is an example for this. Now let the universal set be denoted by U which is the set containing the elements 1, 2 is the set containing the elements of the universal set which are not in A but which are not in A. It will be equal to the set we have learnt about. Hope you all have enjoyed the session.