Pyramid and combinatorics
Source: 2016 Nigerian Senior MO Round 2
November 16, 2022
geometry3D geometrypyramidcombinatorics
Problem Statement
A solid pyramid , with a quadrilateral base is to be coloured on each of the five faces such that no two faces with a common edge will have the same colour. If five different colours are available, what is the number of ways to colour the pyramid?