Question

NUMBER OF WAYS OF PAINTING SIX FACES OF A CUBE WITH SIX DIFFERENT COLOURS IS______

Answer 1

Answer:

30 ways

Step-by-step explanation:

So ways to actually color the cube = 6!/(6*4) =30 way

A cube can be rotated into 6×4=24 configurations (i.e. the red face can be any one of the 6, and then there are 4 ways to rotate it that keep that face red), so the number of different colourings (counting rotations, but not mirror reflections, as the same) is 6!/24=30.