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Problem of the Month – May 2023

In a school having n students any student has exactly 971 friends and if two students are
not friends then they have exactly 970 common friends. Find all possible values of n.

 

 

Correct Solutions by,

  • Toshihiro Shimizu Kawasaki, Japan
  • Mustafa Kerem Yüksel Bilkent University
  • Mustafa Burak Topal İstanbul
  • Magnus Jakobsson Lund, Sweden
  • Roger Bengtsson Lund, v
  • Barış Koyuncu İstanbul Özel Enka Lisesi
  • Mehmet Can Baştemir Kocaeli Özel Fen ve Teknoloji Lisesi
  • Hakan Gökdoğan Haydarpaşa Lisesi, Üsküdar
  • Ahmet Kerim Rüzgar İstanbul Şehit Münir Alkan Fen Lisesi
  • Sena Başaran İstanbul Erkek Lisesi
  • Serdar Bozdağ Kocaeli Özel Fen ve Teknoloji Lisesi
  • Hakan Gökdoğan Haydarpaşa Lisesi, Üsküdar
  • Mehmet Burak Gönül Çağaloğlu Anadolu Lisesi
  • Muhammed Kızılkaya Kabataş Erkek Lisesi

 

Solution: http://www.fen.bilkent.edu.tr/~cvmath/Problem/2305a.pdf