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ps - silly married couples who wont sit next to each other

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Manager
Manager
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Joined: 11 Jul 2004
Posts: 120
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Kudos [?]: 2 [0], given: 0

ps - silly married couples who wont sit next to each other [#permalink] New post 20 Aug 2004, 12:38
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A
B
C
D
E

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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Two couples and one single person are seated at random in a row of five chairs. What is the probability that neither of the couples sits together in adjacent chairs?

a. 1/5
b. 1/4
c. 3/8
d. 2/5
e. 1/2

on a pratice test I spent 5 mins on this. Not good. Hopefully someone can solve in less time

please explain your method
thanks
CEO
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Joined: 15 Aug 2003
Posts: 3470
Followers: 60

Kudos [?]: 669 [0], given: 781

 [#permalink] New post 20 Aug 2004, 13:03
This problem was discussed earlier. of course, other explanations are welcome.

This is one of the discussions. i am sure you will find more if you run a search.

http://www.gmatclub.com/phpbb/viewtopic.php?t=2559
Joined: 31 Dec 1969
Location: United States
Concentration: Marketing, Other
GMAT 1: 710 Q49 V38
GMAT 2: 660 Q V
GPA: 3.64
WE: Accounting (Accounting)
Followers: 0

Kudos [?]: 65 [0], given: 76940

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 [#permalink] New post 18 Sep 2004, 11:05
There are 6 ways in which both couples are sitting together (3! ways)
There are 12 ways in which 1 couple is sitting togther and other separate
So, there are 18 ways that atleast 1 couple is sitting together.

Prob of neither = 1 - either or both = 1 - 18/30 = 12/30 = 2/5.
  [#permalink] 18 Sep 2004, 11:05
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ps - silly married couples who wont sit next to each other

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