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Turkey NMO 2008 1st Round - P12 (Combinatorics)

Source:

August 25, 2012
geometry3D geometrysymmetryrotation

Problem Statement

In how many ways a cube can be painted using seven different colors in such a way that no two faces are in same color?
<spanclass=′latex−bold′>(A)</span> 154<spanclass=′latex−bold′>(B)</span> 203<spanclass=′latex−bold′>(C)</span> 210<spanclass=′latex−bold′>(D)</span> 240<spanclass=′latex−bold′>(E)</span> None of the above <span class='latex-bold'>(A)</span>\ 154 \qquad<span class='latex-bold'>(B)</span>\ 203 \qquad<span class='latex-bold'>(C)</span>\ 210 \qquad<span class='latex-bold'>(D)</span>\ 240 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the above}
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