Difference between revisions of "2011 AMC 12A Problems/Problem 22"
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== Problem == | == Problem == | ||
| + | Let <math>R</math> be a square region and <math>n \geq 4</math> an integer. A point <math>X</math> in the interior or <math>R</math> is called ''n-ray partitional'' if there are <math>n</math> rays emanating from <math>X</math> that divide <math>R</math> into <math>n</math> triangles of equal area. How many points are <math>100</math>-ray partitional but not <math>60</math>-ray partitional? | ||
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| + | <math> | ||
| + | \textbf{(A)}\ 1500 \qquad | ||
| + | \textbf{(B)}\ 1560 \qquad | ||
| + | \textbf{(C)}\ 2320 \qquad | ||
| + | \textbf{(D)}\ 2480 \qquad | ||
| + | \textbf{(E)}\ 2500 </math> | ||
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== Solution == | == Solution == | ||
== See also == | == See also == | ||
{{AMC12 box|year=2011|num-b=21|num-a=23|ab=A}} | {{AMC12 box|year=2011|num-b=21|num-a=23|ab=A}} | ||
Revision as of 01:37, 10 February 2011
Problem
Let 
be a square region and 
an integer. A point 
in the interior or is called n-ray partitional if there are 
rays emanating from that divide into triangles of equal area. How many points are 
-ray partitional but not 
-ray partitional?
Solution
See also
| 2011 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 21 |
Followed by Problem 23 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
