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# Ps PROJECT GMAT sitting in the car

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Manager
Joined: 05 Oct 2005
Posts: 200
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

plz explain your logic and show your work
thank
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when there is a will there is a way

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Manager
Joined: 05 Oct 2005
Posts: 200
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

Current Student
Joined: 29 Jan 2005
Posts: 5218

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

6P2*2=720 (E)
Director
Joined: 13 Nov 2003
Posts: 789
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
Director
Joined: 09 Jul 2005
Posts: 591

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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
23 Nov 2005, 16:13
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# Ps PROJECT GMAT sitting in the car

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