Difference between revisions of "2013 AMC 12B Problems/Problem 12"
(Created page with "==Problem== Cities <math>A</math>, <math>B</math>, <math>C</math>, <math>D</math>, and <math>E</math> are connected by roads <math>AB</math>, <math>AD</math>, <math>AE</math>, <...") |
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Revision as of 14:56, 22 February 2013
Problem
Cities 
, 
, 
, 
, and 
are connected by roads 
, 
, 
, 
, 
, 
, and 
. How many different routes are there from to that use each road exactly once? (Such a route will necessarily visit some cities more than once.)
![[asy] unitsize(10mm); defaultpen(linewidth(1.2pt)+fontsize(10pt)); dotfactor=4; pair A=(1,0), B=(4.24,0), C=(5.24,3.08), D=(2.62,4.98), E=(0,3.08); dot (A); dot (B); dot (C); dot (D); dot (E); label("$A$",A,S); label("$B$",B,SE); label("$C$",C,E); label("$D$",D,N); label("$E$",E,W); draw(A--B--C--D--E--cycle); draw(A--D); draw(B--D);[/asy]](http://latex.artofproblemsolving.com/7/2/7/727bb59f0a74d657cebff09e38792a9fe7e4a1f7.png)
