2009 UNCO Math Contest II Answer Key

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1) $45$

2) (a) $25$ (b) $75$

3) $6008$

4) $360$

5) $200$

6) $\binom{m}{2} \binom{n}{2}$

7) $2x+8$

8) $64$

9) $832$

10) (a) $133$

(b) $\binom{19}{2}+\binom{18}{3}+\binom{17}{4}+\cdots \binom{11}{10}$

(c) $\binom{n-1}{2}+\binom{n-2}{3}+\binom{n-3}{4}+\cdots$

11) $\frac{2^{100}-1}{3}$