[Math4u] Re: Cube problem

Question:-
Given six different colours and a cube.
1. In how many ways two opposite faces of the cube can
be coloured with two different colours?
2. In how many ways four faces of the cube can be
coloured with four different colours of which two
faces are opposite and other two faces are also
opposite?
3. In how many ways all six faces of the cube can be
coloured with six different colours?

Colors 1,2,3,4,5,6
Sides 1 bottom, 2 top, 3 left, 4 right, 5 back, 6 front

1. C(6,2)=6*5/2=15

2. 15*4*3=180
Without duplicates there are
135 different ways.

3. 135*2=270
Without duplicates there are
210 different ways.

Jim FitzSimons

--- In Math4u@yahoogroups.com, "sanjivadayal" <sanjivadayal@...>
wrote:
>
> Question:-
> Given six different colours and a cube.
> 1. In how many ways two opposite faces of the cube can
> be coloured with two different colours?
> 2. In how many ways four faces of the cube can be
> coloured with four different colours of which two
> faces are opposite and other two faces are also
> opposite?
> 3. In how many ways all six faces of the cube can be
> coloured with six different colours?
>

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