Dear Tutors,

Please help me with this problem. It is one problem but has 4 parts. Thanks you!

1. Let o = 1 2 3 4 5 6 4 6 2 1 5 3 and let T = 1 2 3 4 5 6 3 5 6 21 be elements of S6. (a) (4 points) Write a as the product of disjoint cycles. (b) (4 points) Write o as the product of transpositions. Is o even or odd? (c) (4 points) Compute or. You may write your answer in two-line notation or cycle notation, whichever you prefer.(d) (4 points) Compute 7-. You may write your answer in two-line notation or cycle notation, whichever you prefer