The number of ways in which four faces of a regular tetrahedron can be painted with four different c

Question

The number of ways in which four faces of a regular tetrahedron can be painted with four different colours is

Professor PC Thomas Classes · Answer

Let the colours be called A.B.C.D.One of the faces should be coloured by A. The other 3 faces can be coloured by B,C,D in 2 ! ways as the permutation is cyclic. So total $2!=2$ ways.