Let a = (1365) (24), B = (152643), y = (163). Find each of the following. For (a)-(e), write each result first as a product of disjoint cycles, then as a product of 2-cycles, then say if the element is even or odd: (a) (b) (c) a By (d) a-1 (e) n such that n3 = (1243) (56) (f) |a| Concepts: Basic concepts emphasized: Permutation groups. Symmetric groups, examples and properties. Alternating (sub)group. Cycle notation.