Shade the appropriate part of each Venn-diagram below based on its caption. For each case, show the formula to com- pute the corresponding cardinality in terms of AL im. C. I nan, lanBna ete (see the text-book for Universe of Discourse, if needed). I. Here, Universe of Discourse (0) The items that belong to 2 I of A, B, and C (ii) The items that belong to 2 2 of A. B, and C (Theitems that belo to exactly I of A, B, and (iv) The items that belong to S I of A, B, and C (v)The items that belong to S 2 of A. B, and C. (vi)The items that be to exactly 2 of A, B, and 2. The Venn-diagram below shows two subsets A, B = Universe of Discourse. The numbers in the diagram show the size of the various subsets; thus. IA-b-1, 1An8-2. 18-4-4, and K-(AUB)-8. We chose these sizes so that the sizes of 16 2 subsets X, to Xio of 2 that can be formed from A and B using union, intersection, and com- plement are distinct. We write the intersection XrY below simply as XY, thus, AA" = AnAc == BB". The sizes of various 24 subsets A-B, etc. Shade the part of the venn-diagram in each of 16 cases below (continued to next page) representing the given set X, and show the size IX, X, = AB X2l X-AUB 1x141 15