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no of coloring some faces of a cube 2018 Malaysia OMK Intermediate A5

Source:

September 19, 2021
combinatoricsColoringcube

Problem Statement

Daud want to paint some faces of a cube with green paint. At least one face must be painted. How many ways are there for him to paint the cube?
Note: Two colorings are considered the same if one can be obtained from the other by rotation.