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# Ps PROJECT GMAT sitting in the car

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Manager
Joined: 05 Oct 2005
Posts: 199

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Ps PROJECT GMAT sitting in the car [#permalink]

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23 Nov 2005, 06:58
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Hello Everyone
here it is

Jake, Lena, Fred, John and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna or Jake can drive, how many seat allocations are possible?

(A) 30
(B) 42
(C) 120
(D) 360
(E) 720

thank
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when there is a will there is a way

best regards

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Manager
Joined: 05 Oct 2005
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wish i could delete previous post [#permalink]

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23 Nov 2005, 07:04
I don 't know how to delete posts but it seems like it GMATT73's Post is about the same exercises but with different names
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when there is a will there is a way

best regards

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Current Student
Joined: 29 Jan 2005
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23 Nov 2005, 07:11
That`s right, except I added a twist to my problem.

6P2*2=720 (E)

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Director
Joined: 13 Nov 2003
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Location: BULGARIA

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23 Nov 2005, 08:12
When Inna is driving the rest can sit in 6x5x4x3 ways( assume that the driver's place is included in the 7 places) or 360 ways.Apply same for Jake

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Director
Joined: 09 Jul 2005
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23 Nov 2005, 16:13
There is only one seat for the driver. Imagine Inna is driving the car. Then, we have to allocate 4 people in 6 places and take into account the permutation of these people, and the non-permutations of the free seats. We have that 6!/((6-4)!Â·2) is the number of different configurations.

Thefore the solution must be 6!/2!=360

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23 Nov 2005, 16:13
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