Painting a cube

IIT JEE Papers › Algebra questions › Painting a cube

Q) In how many ways can you colour the faces of a cube with six di
erent colours, if all the faces
are to have a di
erent colour ?

i am getting 30 .

guys, plz try and tell me your answers.

#Mathematics #Algebra

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4 Answers

johncenaiit ·2012-02-12 05:24:47

how are u getting 30 ?

i'm getting 1 (if the cube is not fixed)
and 6! (if the cube is fixed)

correct me if i'm wrong......:)

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johncenaiit ·2012-02-12 06:03:08

oh....no......sorry for my old post....

there are 24 orientations of a cube
so 6!/24 = 30 ways.....

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Ketan Chandak ·2012-02-12 06:54:21

First paint any colour on any face.....Now the opposite face can be painted in 5 ways(with any of the remaining 5 colours).Now the remaining faces can be painted with the remaining 4 colours in (4-1)! ways(circular permutations)...

final answer is 5 x (4-1)!=30 ways.... :)

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Aditya Bhutra ·2012-02-12 10:12:23

thnx guys.

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Basic Integral Calculus Operators Symbols Matrix Cases

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° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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Painting a cube

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