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pow:problem4s26 [2026/08/06 18:44] jlasseterpow:problem4s26 [2026/08/06 19:04] (current) jlasseter
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 <box 85% round orange|  Problem 4 (due Monday, March 30 ) > <box 85% round orange|  Problem 4 (due Monday, March 30 ) >
  
-Let \(n>0\) be an odd integer. Prove that there exists a set \(=\{A_1, \ldots, A_{2n}\}\) of $2ndistinct points in the plane which are not collinear and such that if $i+j\neq 2n+1then the line $A_iA_jcontains a third point from $S$.   +Let \(n>0\) be an odd integer. Prove that there exists a set \(=\{A_1, \ldots, A_{2n}\}\) of \(2n\) distinct points in the plane which are not collinear and such that if \(i+j\neq 2n+1\) then the line \(A_iA_j\) contains a third point from \(S\).   
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 We did not receive any solutions.  We did not receive any solutions. 
 For a detailed solution see the following link {{:pow:2026sproblem4.pdf|Solution}}. For a detailed solution see the following link {{:pow:2026sproblem4.pdf|Solution}}.
pow/problem4s26.txt · Last modified: by jlasseter