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# The faces of Cube are to be painted by 6 different colors

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Manager
Joined: 01 Jun 2015
Posts: 196
Location: India
Concentration: Strategy, International Business
GMAT 1: 620 Q48 V26
The faces of Cube are to be painted by 6 different colors  [#permalink]

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11 May 2016, 08:13
00:00

Difficulty:

(N/A)

Question Stats:

13% (00:00) correct 88% (01:36) wrong based on 15 sessions

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The faces of Cube are to be painted by 6 different colors. In how many ways can be this be done?
A.720
B.256
C.1
D.12
E.36
Math Expert
Joined: 02 Aug 2009
Posts: 8602
Re: The faces of Cube are to be painted by 6 different colors  [#permalink]

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11 May 2016, 08:46
techiesam wrote:
The faces of Cube are to be painted by 6 different colors. In how many ways can be this be done?
A.720
B.256
C.1
D.12
E.36

Hi,
C cannot be the answer..
If I have to paint 6 sides with 6 different colour...
Paint the top/bottom with any ONE colour... the opposite can be any of the remaining 5..
remaining 4 make a kind of circular arrangement, so (4-1)! = 6..
Total 6*5 = 30 distinct ways
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Re: The faces of Cube are to be painted by 6 different colors  [#permalink]

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11 May 2016, 10:41
I am also of the same opinion as chetan2u

IMHO 1 is not a correct solution for this question....
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Math Expert
Joined: 02 Sep 2009
Posts: 64242
Re: The faces of Cube are to be painted by 6 different colors  [#permalink]

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11 May 2016, 14:55
techiesam wrote:
The faces of Cube are to be painted by 6 different colors. In how many ways can be this be done?
A.720
B.256
C.1
D.12
E.36

This question is discussed here: you-have-a-six-sided-cube-and-six-cans-of-paint-each-a-diff-159417.html
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Re: The faces of Cube are to be painted by 6 different colors   [#permalink] 11 May 2016, 14:55

# The faces of Cube are to be painted by 6 different colors

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