Let U = {2, 4, 5, 6, 8, 10, 12}, S = {2, 4, 5, 10}, and T = {2, 6, 8, 10}. (U is the universal set.) Determine each of the following. (a) SUT (b) SOT (c) S-T (d) T-S (e) ((SNT)US) (f) US (called the complement of S) Given that the set S contains n elements, show that S has 2" subsets. Let S stand for the number of elements in S. Show the validity of |SUT|=|S|+|T|-|SnT. . Show that the following are equivalent. (a) SCT (b) SnT=S (c) SUT=T

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Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.