Difference between revisions of "2009 UNCO Math Contest II Answer Key"

Latest revision as of 00:30, 6 November 2015

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

@@ Line 17: / Line 17: @@
 ) <math>832</math>
-) (a) <math>133</math>  (b)   <math>\binom{19}{2}+\binom{18}{3}+\binom{17}{4}+\cdots \binom{11}{10}</math>   (c) <math>\binom{n-1}{2}+\binom{n-2}{3}+\binom{n-3}{4}+\cdots</math>
+) (a) <math>133</math>
-) <math></math>
+(b) <math>\binom{19}{2}+\binom{18}{3}+\binom{17}{4}+\cdots \binom{11}{10}</math>
+(c) <math>\binom{n-1}{2}+\binom{n-2}{3}+\binom{n-3}{4}+\cdots</math>
+) <math>\frac{2^{100}-1}{3}</math>