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# How many different ways can they be seated?

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Manager
Joined: 29 Jun 2010
Posts: 246

Kudos [?]: 49 [0], given: 12

Schools: LBS, Oxford
How many different ways can they be seated? [#permalink]

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15 Jul 2011, 02:22
00:00

Difficulty:

15% (low)

Question Stats:

70% (00:17) correct 30% (00:30) wrong based on 23 sessions

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If 6 ministers are to be seated at a round table conference, then how many different ways can they be seated?

24
60
120
720
180
[Reveal] Spoiler: OA

Kudos [?]: 49 [0], given: 12

Current Student
Joined: 26 May 2005
Posts: 555

Kudos [?]: 239 [0], given: 13

Re: How many different ways can they be seated? [#permalink]

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15 Jul 2011, 02:27
Alchemist1320 wrote:
If 6 ministers are to be seated at a round table conference, then how many different ways can they be seated?

24
60
120
720
180

Simple formula:
There are (n - 1)! ways to arrange n distinct objects in a circle.

so its (6-1)! = 5! = 120

Kudos [?]: 239 [0], given: 13

Manager
Joined: 20 Jan 2011
Posts: 84

Kudos [?]: 43 [0], given: 23

Re: How many different ways can they be seated? [#permalink]

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15 Jul 2011, 04:32
(n-1)! for circular arrangements. 5! = 120
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Kudos [?]: 43 [0], given: 23

Manager
Joined: 14 Apr 2011
Posts: 193

Kudos [?]: 27 [0], given: 19

Re: How many different ways can they be seated? [#permalink]

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16 Jul 2011, 03:25
You can also think of it as .. lets pick 1 minister and make him sit anywhere, now 5 ministers are left that need to seated around this minister and this can be done in 5! ways. The n-1 comes from fixing one person/thing in the arrangement already.
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Kudos [?]: 27 [0], given: 19

Re: How many different ways can they be seated?   [#permalink] 16 Jul 2011, 03:25
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# How many different ways can they be seated?

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