Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# 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