Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
Already signed up?
New to KöMaL?
I want the old design back!!! :-)

Problem K. 488. (January 2016)

K. 488. Prove that if \(\displaystyle a \ge n\) where \(\displaystyle a\) and \(\displaystyle n\) are positive integers, then the product \(\displaystyle (a-1)(a-2)(a-3)\dots (a-n)\) is divisible by \(\displaystyle n\).

(6 pont)

Deadline expired on February 10, 2016.


Statistics:

86 students sent a solution.
6 points:Aradi Sára Katalin, Bálint Szilárd, Barta Ákos, Bertók Zsanett, Csáfordi József, Csóka Zoárd, Csunderlik Dorka, Deák Viktória, Debreczeni Tibor, Dékány Barnabás, Dobák Dániel, Fekete Barnabás, Gilicze Márton, Hoffmann Balázs, Jankovits András, Kafka Viktor, Kávási Tamás, Keltai Dóra, Kiss 468 Péter, Koleszár Panna, Korecz Gábor, Kovács 161 Márton Soma, Kovács 576 Kristóf, Kovács 696 Levente, Marshall Tamás, Máté 446 Dávid, Mészáros 916 Márton, Misik Márton, Mónos Péter, Nyitrai Boglárka, Pinke Jakab Zoltán, Pipis Panna, Póta Balázs, Radvánszki Fanni, Rubovszky Cecília , Szántó Dániel, Tóth Benedek, Varga 294 Ákos, Varga Levente, Vida Kata, Zsótér Laura.
5 points:25 students.
4 points:10 students.
3 points:3 students.
2 points:3 students.
1 point:2 students.
0 point:2 students.

Problems in Mathematics of KöMaL, January 2016