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Let X be a convex region in the plane bounded by straight lines. Let X have 7 vertices. Suppose f(x,y) = ax + by + c has maximum value M and minimum value N on X and N < M. Let S = {P âˆ¶ P is a vertex of X and N < f(P) < M}. If S has n elements, then which of the following statements is TRUE?

n cannot be 5

n can be 2

n cannot be 3

n can be 4

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