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Pat will walk from intersection X to intersection Y along a

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Pat will walk from intersection X to intersection Y along a [#permalink] New post 14 Nov 2010, 07:55
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (02:09) correct 37% (01:56) wrong based on 63 sessions
Pat will walk from intersection X to intersection Y along a route that is confined to the square grid of four streets and three avenues shown in the map above. How many routes from X to Y can Pat take that have the minimum possible length?

A) 6
B) 8
C) 10
D) 14
E) 16

This is an OG12 question....could anybody let me know a better way to resolve this other then counting the paths (as solution in OG suggests)
Thanks
[Reveal] Spoiler: OA

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Re: Is there any better approach for this Question? [#permalink] New post 14 Nov 2010, 08:09
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Pat will walk from intersection X to intersection Y along a route that is confined to the square grid of four streets and three avenues shown in the map above. How many routes from X to Y can Pat take that have the minimum possible length?

A) 6
B) 8
C) 10
D) 14
E) 16


In order the length to be minimum Pat should only go UP and RIGHT: namely thrice UP and twice RIGHT.

So combination of UUURR: # of permutations of 5 letters out of which there are 3 identical U's and 2 identical R's is 5!/3!2!=10.

Answer: C.

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Hope it's clear.
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Re: Is there any better approach for this Question? [#permalink] New post 14 Nov 2010, 08:16
as usual...awesome solution!

+1
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Re: Is there any better approach for this Question? [#permalink] New post 14 Nov 2010, 12:38
Cool solution...

Thanks Bunuel. +1
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Re: Is there any better approach for this Question? [#permalink] New post 14 Nov 2010, 12:40
What would be the approach if we do not have a requirement for the shortest path?

Is this still a valid question?
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Re: Pat will walk from intersection X to intersection Y along a [#permalink] New post 25 Apr 2014, 01:36
Hello from the GMAT Club BumpBot!

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Re: Pat will walk from intersection X to intersection Y along a   [#permalink] 25 Apr 2014, 01:36
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