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In how many ways can 4 identical red balls and 5 different

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Senior Manager
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In how many ways can 4 identical red balls and 5 different [#permalink] New post 20 Oct 2005, 18:45
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A
B
C
D
E

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In how many ways can 4 identical red balls and 5 different green balls be arranged in a line such that no two red balls are together?
5*5!
5*4!*5!
6*4!*5!
6*5!
2*9!
Senior Manager
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 [#permalink] New post 20 Oct 2005, 20:54
I am getting answer as 5! * 5 * 4 * 4 (I guess I am missing something and it takes lot of time to get to this one). Would wait for someone to post a shorter method and the answer.
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 [#permalink] New post 20 Oct 2005, 21:08
I get 5*5!

Since the red balls are identical we can just use them as place markers.

ggrgrgrgr
grggrgrgr
grgrggrgr
grgrgrggr
rgrgrgrgg

A.
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 [#permalink] New post 20 Oct 2005, 21:17
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 [#permalink] New post 20 Oct 2005, 21:21
GMATT73 wrote:
I get 5*5!

Since the red balls are identical we can just use them as place markers.

ggrgrgrgr
grggrgrgr
grgrggrgr
grgrgrggr
rgrgrgrgg

A.


The following combination(s) are missing:
gRgRgRgRg
RgggRgRgR ... & so on
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 [#permalink] New post 21 Oct 2005, 01:02
so seems it's C

not so easy this kind of problem :idea:
  [#permalink] 21 Oct 2005, 01:02
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