Because you can always find a positive constant c for which following
inequality hold true.
  A(n) <= cW(n) i.e. the avg. case time complexity always upper bounded by
worst case time complexity. Which is the definition of Big O.

On Sat, Aug 25, 2012 at 7:11 PM, rahul sharma <rahul23111...@gmail.com>wrote:

> *Let w(n) and A(n) denote respectively, the worst case and average case
> running time of an algorithm executed on an input of size n. which of the
> following is ALWAYS TRUE?*
> (A) [image: A(n) = \Omega(W(n))]
> (B) [image: A(n) = \Theta(W(n))]
> (C) [image: A(n) = O(W(n))]
> (D) [image: A(n) = o(W(n))]
>
> answer is c
>
> plz explain y???
>
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