If the operation \(@\) is defined for all integers \(a\) and \(b\) by \(a@b = a + b - ab,\) which of the following statements must be true for all integers \(a, b\) and \(c?\)
I. \(a@b = b@a\)
II. \(a@0 = a\)
III. \((a@b)@c = a@(b@c)\)
(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) I, II, and III
Answer: E
Source: GMAT Prep
If the operation \(@\) is defined for all integers \(a\) and \(b\) by \(a@b = a + b - ab,\) which of the following state
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