Exercise 14.4.4. Let X = {1,2, ..., 10}, let A = {2, 5, 7, 8}, and let o e Sx be the cycle o = (2578). %3D (a) What is o(2)? What is o2(2)? What is o (2)? What is oʻ(2) What is g3,482,991 (2)? (b)...

Please do Exercise 14.4.4 and please do part A,B,C and please show step by step and explain

Extracted text: Exercise 14.4.4. Let X = {1,2, ..., 10}, let A = {2, 5, 7, 8}, and let o e Sx be the cycle o = (2578). %3D (a) What is o(2)? What is o2(2)? What is o (2)? What is oʻ(2) What is g3,482,991 (2)? (b) What is o(5)? What is o?(5)? What is o (5)? What is o(5) What is g3,482,991 (5)? (c) Fill in the blank: If r E A then o* (x) = o mod (k.).