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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
Followers: 1

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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This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
CEO
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Joined: 15 Aug 2003
Posts: 3467
Followers: 61

Kudos [?]: 737 [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: India
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GMAT 4: 710 Q45 V41
GPA: 4
WE: Sales (Investment Banking)
Followers: 0

Kudos [?]: 108 [0], given: 89691

 [#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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