There are 2017 nonempty bags each containing finite number of colored balls. Find the smallest value of k for which no matter how the contents of bags are arranged the bags can be distributed into k boxes so that for each box at least one of the following two conditions is held:
• all bags of a box contain a ball of the same color
•• each bag of a box contains a ball colored differently from all balls of all other bags of this box.
Correct Solutions by,
- Toshihiro Shimizu, Kawasaki, Japan
- Serdar Hojayev Dashoguz, Turkmenistan
- Hasan Zubeyr Demir, Özel Çaglayan Fen Lisesi, Ankara
- Tomas Jurik, Kosice, Slovakia
- Leo Chin Ho, National University of Singapore, Singapore,
- Mehmet Ali Yıldırım, Florya Final Anadolu Lisesi, İstanbul
- Roger Bengtsson Lund, Sweden