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# Is there any better approach for this Question?

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Is there any better approach for this Question? [#permalink]  14 Nov 2010, 08:55
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50% (01:37) correct 50% (00:35) wrong based on 0 sessions
Guys,

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
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Re: Is there any better approach for this Question? [#permalink]  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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Re: Is there any better approach for this Question? [#permalink]  14 Nov 2010, 09:16
as usual...awesome solution!

+1
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Re: Is there any better approach for this Question? [#permalink]  14 Nov 2010, 13:38
Cool solution...

Thanks Bunuel. +1
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Re: Is there any better approach for this Question? [#permalink]  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?
Re: Is there any better approach for this Question?   [#permalink] 14 Nov 2010, 13:40
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# Is there any better approach for this Question?

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