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If the President and Vice President must sit next to each

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VP
VP
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Joined: 22 Nov 2007
Posts: 1104
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Kudos [?]: 241 [0], given: 0

If the President and Vice President must sit next to each [#permalink] New post 07 Feb 2008, 11:42
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If the President and Vice President must sit next to each other in a row with 4 other members of the Board, how many different seating arrangements are possible?

120

240

300

360

720
Expert Post
CEO
CEO
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Joined: 17 Nov 2007
Posts: 3574
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
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Re: arrangements perms [#permalink] New post 07 Feb 2008, 11:56
Expert's post
B

(President,Vice President), X, Y, Z, W

\(p=P^2_2*P^5_5=2*5*4*3*2=240\)
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Director
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Re: arrangements perms [#permalink] New post 07 Feb 2008, 12:05
i also got 240 but did it a little differently.

if P in seat 1, VP in seat 2, others 4! arrangements
P = 6, same 4! arrangements
P=2,3,4 or 5 VP is next to P on either side (2 arrangement) * 4! other 4 memembers

4! + 4! + 4*2*4! = 4! * 10 = 240 -> B
Re: arrangements perms   [#permalink] 07 Feb 2008, 12:05
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If the President and Vice President must sit next to each

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