# Relaxation Problems - 3

Let $$n$$ be a positive integer and $$a, b$$ be two positive integers such that $$a+b=n$$. Which of the following are possible values of $$ab$$ for all even positive integers $$n$$?

I. $$n+1$$

II. $$n-1$$.

III. $$2n-4$$

IV. $$0.25n^{2}$$

V. $$0.25 (n^{2}-4)$$

VI. $$n^{2}$$

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