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

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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.

Answer: C.

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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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