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# If the President and Vice President must sit next to each

Author Message
VP
Joined: 22 Nov 2007
Posts: 1079

Kudos [?]: 678 [0], given: 0

If the President and Vice President must sit next to each [#permalink]

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07 Feb 2008, 12:42
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

Kudos [?]: 678 [0], given: 0

CEO
Joined: 17 Nov 2007
Posts: 3584

Kudos [?]: 4583 [0], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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07 Feb 2008, 12:56
Expert's post
1
This post was
BOOKMARKED
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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Kudos [?]: 4583 [0], given: 360

Director
Joined: 01 Jan 2008
Posts: 618

Kudos [?]: 198 [0], given: 1

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07 Feb 2008, 13:05
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

Kudos [?]: 198 [0], given: 1

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16681

Kudos [?]: 273 [0], given: 0

Re: If the President and Vice President must sit next to each [#permalink]

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24 Apr 2016, 02:04
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Kudos [?]: 273 [0], given: 0

Re: If the President and Vice President must sit next to each   [#permalink] 24 Apr 2016, 02:04
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