2012 UNCO Math Contest II Answer Key

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1) (a) $36$ (b) $196$

2) $\tfrac{1}{324}$

3) $126$

4) (a) $289$ (b) $11$

5) $0$

6) $210$

7) $4\sqrt{3} - \tfrac{11\pi}{6}$

8) $15$

9) (a) ${N-1}2^{N+1}+2$ (b) $2201$

10) (a) $126$ (b) $\binom{n+3}{4}$

11) $x^4-x^3-\tfrac{1}{2}x^2-\tfrac{1}{6}x+\tfrac{1}{24}$