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plastic cubes of the same size into 5 colors

Source: Spanish Mathematical Olympiad 1969 P3

December 4, 2022
combinatorics

Problem Statement

A bag contains plastic cubes of the same size, whose faces have been painted in colors: white, red, yellow, green, blue and violet (without repeating a color on two faces of the same cube). How many of these cubes can there be distinguishable to each other?