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# Eight friends (Four Males and Four Females) are lined up in

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Intern
Joined: 29 Apr 2006
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Eight friends (Four Males and Four Females) are lined up in [#permalink]

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25 May 2006, 11:54
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Eight friends (Four Males and Four Females) are lined up in row in a movie. What is the probability that your final arrangement alternates gender all the way down?
Director
Joined: 06 May 2006
Posts: 791
Followers: 3

Kudos [?]: 34 [0], given: 2

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25 May 2006, 12:59
2*4!*4!/8! ?

4! - No of ways 4 Boys or Girls can be arranged.
2 - No of ways Boys and Girls can be placed alternately

8! - Total no of ways in which all 8 can be arranged.
VP
Joined: 29 Dec 2005
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25 May 2006, 13:05
Srinivas Kancherla wrote:
Eight friends (Four Males and Four Females) are lined up in row in a movie. What is the probability that your final arrangement alternates gender all the way down?

final arrangement alternates gender all the way down?????????

i guess...
= (2 x 4! x 4!)/8!
Intern
Joined: 29 Apr 2006
Posts: 14
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25 May 2006, 15:28
Professor wrote:
Srinivas Kancherla wrote:
Eight friends (Four Males and Four Females) are lined up in row in a movie. What is the probability that your final arrangement alternates gender all the way down?

final arrangement alternates gender all the way down?????????

i guess...
= (2 x 4! x 4!)/8!

All the way down means MFMFMFMFM or FMFMFMFM till the end of 8 friends. Answer is correct

OA is (2 x 4! x 4!)/8!
Re: PS: Probability   [#permalink] 25 May 2006, 15:28
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