Algorithms | Analysis of Algorithms | Question 4

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? (GATE CS 2012)
(A) A(n) = \Omega(W(n))
(B) A(n) = \Theta(W(n))
(C) A(n) = O(W(n))
(D) A(n) = o(W(n))
(A) A
(B) B
(C) C
(D) D

Answer: (C)

Explanation: The worst case time complexity is always greater than or same as the average case time complexity.

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