numbers on a 3x10 board
Source: V May Olympiad (Olimpiada de Mayo) 1999 L2 P3
September 17, 2022
combinatorics
Problem Statement
The first row of this table is filled with the numbers through , in that order.
The second row is filled with the numbers from to , in any order.
In each box of the third row the sum of the two numbers written above is written.
Is there a way to fill in the second row so that the ones digits of the numbers in the third row are all different?
https://cdn.artofproblemsolving.com/attachments/8/5/41117d105cc880bf452fa46132c20f2167aa5b.png