Which one of the following is the recurrence equation for the worst case time complexity of the quick sort algorithm for sorting $n$ ( $\geq $ 2) numbers? In the recurrence equations given in the options below, $c$ is a constant.
Worst case for quick sort happens when $1$ element is on one list and $n-1$ elements on another list.
But according to Cormen, worst case for Quicksort algo occurs when the partitioning produces one subproblem with n-1 elements and another with zero elements ( the nth element is the pivot which gets added to the end of the first subproblem). In fact, it states that even a partition with a 9:1 proportional split also runs in O(n lg n) time.
So option B should really be