I'm really struggling even starting both questions.
Thanks to anyone who can help.
RIGHT, so you can solve it algebraically then sub in N=10 at the end?
EDIT: To clarify, I was starting off with:
Alpha = (10,2) (1,2,8,10)
Beta = (2,3,9) (6,9,10)
but it was the whole cycle notation/product of disjoint cycles thing that really threw me off. I find it very hard to understand.