Question 1 For each of the following permutations in S6, i) write it as a product of disjoint cycles, ii) determine whether it is even or odd, iii) find the order and iv) find the inverse. 1 2 3 4 5 6 (a) 5 1 3 6 24 (b) (12345) (1623) (c) (12) (15) (245)

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