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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]

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14 Nov 2010, 07:55
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Difficulty:

55% (hard)

Question Stats:

59% (02:13) correct 41% (01:50) wrong based on 198 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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Re: Is there any better approach for this Question? [#permalink]

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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.

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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Concentration: Finance, Entrepreneurship
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Re: Is there any better approach for this Question? [#permalink]

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14 Nov 2010, 08:16
as usual...awesome solution!

+1
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Re: Is there any better approach for this Question? [#permalink]

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14 Nov 2010, 12:38
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, 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]

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

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15 Sep 2015, 02:28
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, 17:29
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, 17:29
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# Pat will walk from intersection X to intersection Y along a

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