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At a dinner party, 5 people are to be seated around a

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Manager
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At a dinner party, 5 people are to be seated around a [#permalink] New post 05 Dec 2006, 16:53
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A
B
C
D
E

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(N/A)

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At a dinner party, 5 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different to each other. What is the total number of different possible seating arrangement for the group.
A. 5
B. 10
C. 24
D. 32
E. 120.

Could you please also explain how you get the answer? thank you
Manager
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 [#permalink] New post 05 Dec 2006, 16:58
Arrangement of n people in a circular table, number of permutations is

(n-1) !

So the answer is 4! or 24
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 [#permalink] New post 05 Dec 2006, 16:58
c) 24

(n-1)! if circular arrangement.

Am almost 100% sure this has been posted recently.
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 [#permalink] New post 05 Dec 2006, 17:00
The answer is 24.i.e 4!
the no of arrangements around a circular table consisting of n members is (n-1)!
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 [#permalink] New post 05 Dec 2006, 18:43
C

Be cautious that the seating is circular in nature, hence
ABCDE , BCDEA , EABCD ... are indistinguishable

5!/5 = 24
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  [#permalink] 05 Dec 2006, 18:43
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