In: Advanced Math
1. (a) Construct a magic Venn diagram (MVD) or order 3, i.e., label the eight non-overlapping regions of a Venn diagram of 3 generic sets A, B, C with the integers 1 through 8 so that the sum of the labels in each of the three sets is a constant m (called the 'magic sum' of the diagram.
1. (b) Construct another MVD of order 3 with a magic sum different from the one you found in part (a).
1. (c) Construct an MVD of order 4 (which has 4 sets A, B, C, D, and 16 labels).