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

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Manager
Joined: 11 Jul 2004
Posts: 119

Kudos [?]: 33 [0], given: 0

ps - silly married couples who wont sit next to each other [#permalink]

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20 Aug 2004, 12:38
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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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

thanks

Kudos [?]: 33 [0], given: 0

CEO
Joined: 15 Aug 2003
Posts: 3452

Kudos [?]: 931 [0], given: 781

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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

Kudos [?]: 931 [0], given: 781

Joined: 31 Dec 1969

Kudos [?]: [0], given:

Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)

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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.

Kudos [?]: [0], given:

18 Sep 2004, 11:05
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