Difference between revisions of "2013 AMC 10A Problems/Problem 25"

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== '''Problem''' ==
 
== '''Problem''' ==
  
 
25. All 20 diagonals are drawn in a regular octagon. At how many distinct points in the interior
 
25. All 20 diagonals are drawn in a regular octagon. At how many distinct points in the interior
of the octagon (not on the boundary) do two or more diagonals intersect?\
+
of the octagon (not on the boundary) do two or more diagonals intersect?
(A) 49 \qquad
+
(A) 49  
(B) 65 \qquad
+
(B) 65  
(C) 70 \qquad
+
(C) 70  
(D) 96 \qquad
+
(D) 96  
 
(E) 128
 
(E) 128

Revision as of 21:17, 6 February 2013

Problem

25. All 20 diagonals are drawn in a regular octagon. At how many distinct points in the interior of the octagon (not on the boundary) do two or more diagonals intersect? (A) 49 (B) 65 (C) 70 (D) 96 (E) 128