MathDB
Arranging numbers in squares to get sum 120.

Source: ToT 2003 JO-1

June 26, 2011
geometryrectanglecombinatorics unsolvedcombinatorics

Problem Statement

There is 3×4×53 \times 4 \times 5 - box with its faces divided into 1×11 \times 1 - squares. Is it possible to place numbers in these squares so that the sum of numbers in every stripe of squares (one square wide) circling the box, equals 120120?