The product of \(n\) consecutive integers equals \(P.\) Which of the following is true for \(n \geq 2?\)

I. \(P\) is an even number
II. \(P\) is an odd number
III. \(P\) is positive

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only

[spoiler]OA=A[/spoiler]

Source: Magoosh