KöMaL - Középiskolai Matematikai és Fizikai Lapok
Sign In
Sign Up
 Magyar
Information
Contest
Journal
Articles

 

Problem B. 4732. (October 2015)

B. 4732. The teacher of a class of 36 students enters the averages of the mathematics test grades in a \(\displaystyle 6 \times 6\) table. Each student has a different mean grade. The teacher marks the largest entry in each column of the table. He finds that all of the 6 marked numbers lie in different rows. Then he marks the largest entry in each row, and finds that these all lie in different columns. Prove that the two sets of six numbers are equal.

Proposed by J. Szoldatics, Budapest

(3 pont)

Deadline expired on November 10, 2015.


Statistics:

199 students sent a solution.
3 points:125 students.
2 points:46 students.
1 point:13 students.
0 point:9 students.
Unfair, not evaluated:4 solutions.
Unfair, not evaluated:2 solutions.

Our web pages are supported by:   Ericsson   Cognex   Emberi Erőforrás Támogatáskezelő   Emberi Erőforrások Minisztériuma   Nemzeti Tehetség Program    
MTA Energiatudományi Kutatóközpont   MTA Wigner Fizikai Kutatóközpont     Nemzeti
Kulturális Alap   ELTE   Morgan Stanley