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In city A, the streets are aligned in a grid, where the east

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In city A, the streets are aligned in a grid, where the east [#permalink] New post 19 Jun 2011, 06:56
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Difficulty:

  5% (low)

Question Stats:

88% (02:11) correct 13% (00:07) wrong based on 8 sessions
In city A, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. If Bill needs to walk from the corner of 2nd Rd and 3rd Ave to the corner of 6th Rd and 8th Ave in the shortest possible time, how many different routes could he take?

A. 2772
B. 126
C. 117
D. 84
E. 9
[Reveal] Spoiler: OA
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Re: P&C Problem [#permalink] New post 19 Jun 2011, 07:36
Draw a grid and you will observe that from point A to point B a pattern of 5 rights and 4 ups follow, no matter which way u choose to travel between points .

RRRRRUUUU So 9!/(5! 4!)=126 .

OA is c.
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Re: P&C Problem   [#permalink] 19 Jun 2011, 07:36
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In city A, the streets are aligned in a grid, where the east

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