MathDB
TOT 1998 Autumn AJ5 20 beads of 10 colours, 2 of each colour, in 10 boxes

Source:

May 11, 2020
Coloringcombinatorics

Problem Statement

There are 2020 beads of 1010 colours, two of each colour. They are put in 1010 boxes. It is known that one bead can be selected from each of the boxes so that each colour is represented. Prove that the number of such selections is a non-zero power of 22.
(A Grishin)