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Problem of the Month – June 2018

In the round robin chess tournament organized in a school every two students played one
match among themselves. Find the minimal possible number of students in the school
if each girl student has at least a wins in matches against boy students and each boy
student has at least b wins in matches against girl students.

Correct Solutions by,

  • Toshihiro Shimizu Kawasaki, Japan
  • Mithil Ramteke Bangolore, India
  • Hasan Zubeyr Demir Özel Çaglayan Fen Lisesi, Ankara
  • Barış Koyuncu Özel Halkalı Oğuzkaan Ortaokulu, İstanbul
  • Hayrettin Eren Yıldız Özel Bornova Sevinç Ortaokulu, İstanbul
  • Osman Gülen Özel Bornova Sevinç Ortaokulu, İstanbul
  • Ahmet Çağdaş Girit Siteşer Ortaokulu, İstanbul
  • Dovran Nurgeldiyev Magtymguly Turkmen State University, Turkmenistan
  • Serdar Hojayew Dashoguz, Turkmenistan
  • Solution:  http://www.fen.bilkent.edu.tr/~cvmath/Problem/1806a