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Ps PROJECT GMAT sitting in the car

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Ps PROJECT GMAT sitting in the car [#permalink] New post 23 Nov 2005, 05:58
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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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wish i could delete previous post [#permalink] New post 23 Nov 2005, 06:04
I don 't know how to delete posts :oops: but it seems like it GMATT73's Post is about the same exercises but with different names
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 [#permalink] New post 23 Nov 2005, 06:11
That`s right, except I added a twist to my problem. 8-)

6P2*2=720 (E)
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 [#permalink] New post 23 Nov 2005, 07:12
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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 [#permalink] New post 23 Nov 2005, 15:13
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)!·2) is the number of different configurations.

Thefore the solution must be 6!/2!=360
  [#permalink] 23 Nov 2005, 15:13
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