Problem A. 688. (January 2017)

A. 688. Prove that among any \(\displaystyle {\color{red}4097}\) distinct \(\displaystyle 0\)–\(\displaystyle 1\) sequences of length \(\displaystyle 24\), there are two which differ from each other at no more than \(\displaystyle 7\) positions.

(Brazilian problem)

(5 pont)

Deadline expired on February 10, 2017.

Statistics:

9 students sent a solution.
5 points:	Baran Zsuzsanna, Bukva Balázs, Döbröntei Dávid Bence, Gáspár Attila, Kerekes Anna, Matolcsi Dávid, Williams Kada.
2 points:	1 student.
0 point:	1 student.

Problems in Mathematics of KöMaL, January 2017