That is not at all easy
Probability
Level
3
Each of the faces of a cube is colored by a diiferent color. How many of the colorings are distinct?
The answer is 30.
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1 solution
Consider one of the faces of cube. We can colour this face without any restrictions.The face opposite to the above can thus be coloured in 5 ways.Now for the remaining four faces we can use circular permutations to say that the can be coloured in 6 distinct ways((4-1)!).Therefore total number of distinct colouring possible are 30.