Question: Let A [ 0 . . n 1 ] be an array of n sortable elements. ( For simplicity, you may assume that all the

Let A[0..n 1] be an array of n sortable elements. (For simplicity, you may
assume that all the elements are distinct.) A pair (A[i], A[j ]) is called an
inversion if i A[j ].
a. What arrays of size n have the largest number of inversions and what is this
number? Answer the same questions for the smallest number of inversions.
b. Show that the average-case number of key comparisons in insertion sort is
given by the formula
Cavg(n) n2
4.

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