(c) Show that if a permutation is a product of 3-cycles then it is even. You may use any results from MATH0005 so long as they are stated clearly. (d) (i) Show that if a c then (a, b) (b, c) is a product of 3-cycles. (ii) Show that if (a, b) and (c, d) are disjoint 2-cycles then (a, b)(c, d) is a product of 3-cycles.