(1) Consider the following permutation 1 2 3 4 5 6 7 8 9 10 6...

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(1) Consider the following permutation 1 2 3 4 5 6 7 8 9 10 6 3 4 79 10 1 15 14 2 11 12 13 14 15 35 13 11 5 8 12 52 (a) Write as a product of disjoint cycles. (b) Determine the order and the sign of . (c) Write as a product of transpositions. (d) Find o, its order and its sign. (e) Find 784, its order, and its sign. (1) Consider the following permutation 1 2 3 4 5 6 7 8 9 10 6 3 4 79 10 1 15 14 2 11 12 13 14 15 35 13 11 5 8 12 52 (a) Write as a product of disjoint cycles. (b) Determine the order and the sign of . (c) Write as a product of transpositions. (d) Find o, its order and its sign. (e) Find 784, its order, and its sign.