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# How many ways can four married couples sit on a park bench

Author Message
Director
Joined: 07 Nov 2004
Posts: 683

Kudos [?]: 162 [0], given: 0

How many ways can four married couples sit on a park bench [#permalink]

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08 Dec 2004, 16:58
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many ways can four married couples sit on a park bench if every husband and wife must sit together?

Kudos [?]: 162 [0], given: 0

Intern
Joined: 26 Nov 2004
Posts: 47

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

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08 Dec 2004, 18:35
4!*2^4...did i miss something

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

Director
Joined: 07 Nov 2004
Posts: 683

Kudos [?]: 162 [0], given: 0

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08 Dec 2004, 19:10
foraj wrote:
4!*2^4...did i miss something

Kudos [?]: 162 [0], given: 0

Director
Joined: 16 Jun 2004
Posts: 891

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

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08 Dec 2004, 20:05
My understanding is..
1. group the pairs . We will have 4 pairs of husbands and wifes and they can be arranged in 4! ways.
2. Each pair can be arranged in 2! ways.

So 4!*2!*2!*2!*2! = 24 *16 = 384

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

Director
Joined: 07 Nov 2004
Posts: 683

Kudos [?]: 162 [0], given: 0

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08 Dec 2004, 20:47
thanks, get it now!

Kudos [?]: 162 [0], given: 0

08 Dec 2004, 20:47
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