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10 people go to a party and sit around a table. How many

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gmatfordays
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10 people go to a party and sit around a table. How many [#permalink] New post   18 Feb 2004, 23:56
10 people go to a party and sit around a table. How many ways can they be arranged?



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Re: 10 people go to a party and sit around a table. How many [#permalink] New post   18 Feb 2004, 23:58
gmatfordays wrote:
10 people go to a party and sit around a table. How many ways can they be arranged?



(n-1)! ways that is 9! ways
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Re: 10 people go to a party and sit around a table. How many [#permalink] New post   19 Feb 2004, 05:09
I'd say (10-1)! / 2 because you can sit them clockwise or counterclockwise which would be the same
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Re: 10 people go to a party and sit around a table. How many [#permalink] New post   19 Feb 2004, 05:15
Paul wrote:
I'd say (10-1)! / 2 because you can sit them clockwise or counterclockwise which would be the same



the way , you solve these kind of problems is to fix one person and then calculate the number of ways the others can be arranged

with 2 persons, fix one, you will have 1! ways

with 4 , fix one, you will have 3! ways

similarly with n, fix one, you will have (n-1)! ways

thanks
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Re: 10 people go to a party and sit around a table. How many [#permalink] New post   19 Feb 2004, 05:43
Hey Praethorian, (10-1)! is what I originally thought but here is a link to the answer I told you.
https://www.testmagic.com/forum/topic.asp?TOPIC_ID=1699
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Re: 10 people go to a party and sit around a table. How many [#permalink] New post   19 Feb 2004, 07:25
Paul, good job with reference, but I pick up 9! as correct.

From your standpoint, you know, anti-clockwise and clockwise arrangements are NOT the same in this particular case.

Kpadma, I am in the same boat with 9!
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Re: 10 people go to a party and sit around a table. How many [#permalink] New post   22 Feb 2004, 20:08
Paul wrote:
Hey Praethorian, (10-1)! is what I originally thought but here is a link to the answer I told you.
https://www.testmagic.com/forum/topic.asp?TOPIC_ID=1699


The clockwise anticlockwise symmetry would hold true from something that you could "flipover" (e.g., charm bracelet, hula hoop, plain rings, etc) and not be able to tell which side is up.
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Re: 10 people go to a party and sit around a table. How many [#permalink] New post   22 Feb 2004, 20:18
Nice example. Thx Akamai
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Re: 10 people go to a party and sit around a table. How many [#permalink] New post   24 Feb 2004, 22:10
AkamaiBrah wrote:
Paul wrote:
Hey Praethorian, (10-1)! is what I originally thought but here is a link to the answer I told you.
https://www.testmagic.com/forum/topic.asp?TOPIC_ID=1699


The clockwise anticlockwise symmetry would hold true from something that you could "flipover" (e.g., charm bracelet, hula hoop, plain rings, etc) and not be able to tell which side is up.


Yes, very good explanation.. If you look at the link that Paul provided you find that the original poster made a mistake, so hopefully what I wrote at the end makes it more clear. This made me fumble, hence why I posted it to this board.



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Re: 10 people go to a party and sit around a table. How many [#permalink]
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