Question 2 (30 POINTS) A permutation on a list of numbers [1, ..., n] is a function ? defined from [1, ..., n] to [1, ..., n], where ?(i) yields the position of i in the permutation ?. A fixed point of a permutation ? is a value for which ?(x) = x. For a given permutation ?, what will be the expected number of fixed points? Please show your work.