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# Pat will walk from intersection X to intersection Y along a

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Intern
Joined: 05 Oct 2009
Posts: 32

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Pat will walk from intersection X to intersection Y along a [#permalink]

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14 Nov 2010, 08:55
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Difficulty:

55% (hard)

Question Stats:

60% (01:13) correct 40% (01:47) wrong based on 226 sessions

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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

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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Kudos [?]: 19 [0], given: 3

Math Expert
Joined: 02 Sep 2009
Posts: 42249

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Re: Is there any better approach for this Question? [#permalink]

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14 Nov 2010, 09:09
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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.

Similar questions:
grockit-similar-to-og-quant-qustion-99962.html?hilit=wire#p770816
casey-and-the-bus-104236.html?hilit=route#p812794

Hope it's clear.
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Kudos [?]: 132626 [4], given: 12326

Manager
Joined: 16 Oct 2010
Posts: 86

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Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 700 Q49 V35
WE: Information Technology (Investment Banking)
Re: Is there any better approach for this Question? [#permalink]

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14 Nov 2010, 09:16
as usual...awesome solution!

+1

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Intern
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Re: Is there any better approach for this Question? [#permalink]

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14 Nov 2010, 13:38
Cool solution...

Thanks Bunuel. +1

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Re: Is there any better approach for this Question? [#permalink]

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14 Nov 2010, 13:40
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]

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25 Apr 2014, 02:36
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Re: Pat will walk from intersection X to intersection Y along a [#permalink]

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15 Sep 2015, 03:28
Hello from the GMAT Club BumpBot!

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Re: Pat will walk from intersection X to intersection Y along a [#permalink]

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04 Nov 2016, 18:29
Hello from the GMAT Club BumpBot!

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Re: Pat will walk from intersection X to intersection Y along a   [#permalink] 04 Nov 2016, 18:29
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