 Hello and welcome to the session. In this session we will discuss the following question and the question says, let O is equal to the set containing the elements 1, 2, 3, 4, 5, 6, 7, 8. B is the universal set. A is equal to the set containing the elements 1, 3, 5, B is equal to the set containing the elements 2, 3, 5 and C is equal to the set containing the elements 3, 8. Illustrate this information on a Venn diagram. Let's start the solution now. First step is draw a rectangle which represents the universal set. So we have drawn this rectangle and this rectangle represents the universal set O. The second step is draw three intersecting circles representing the sets A, B and C. Now if we look at the sets A, B and C, we can see that 3 is the element which is common in all the sets. Now since all the three sets A, B and C have a common element, so we have drawn three intersecting circles which represent the sets A, B and C. Now the third step is write down the common element of the three sets A, B and C in the common portion of the three circles. So we write down this common element 3 in this common portion between the three circles. Now consider the two sets A and V. We can see that the common elements between these two sets are 3 and 5. The fourth step is write down the common elements between the two sets A and B in the common portion of the circles A and B. The common elements between the sets A and B are 3 and 5 and we have already written 3 in this common portion, so we write 5 in this common portion between sets A and B. Now in the next step, we write down the remaining elements of the sets A, B and C in the remaining portion of the circles A, B and C respectively. Now the remaining elements of the set A are 1 and 7, so we write these elements in this remaining portion of the circle A. Similarly, the remaining element of the set B is 2, so we write this element 2 in this remaining portion of the circle B and the remaining element of the set C is 8. So we write 8 in this remaining portion of the circle C. Now the last step is write down the remaining elements of the set O which are not in the sets A, B or C outside the 3 circles but inside the rectangle. Now the remaining elements of the set O which are not in the sets A, B or C are the elements 4 and 6. So we write the elements 4 and 6 in the region outside the 3 circles A, B and C but inside this rectangle. So this is our Venn diagram for this question where the set O which is the universal set is represented by this rectangle. With this we end our session. Hope you enjoyed the session.