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

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Manager
Joined: 18 Jun 2011
Posts: 59
In city A, the streets are aligned in a grid, where the east [#permalink]

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19 Jun 2011, 07:56
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Difficulty:

35% (medium)

Question Stats:

75% (02:45) correct 25% (01:15) wrong based on 12 sessions

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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
Manager
Joined: 11 Feb 2011
Posts: 134

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19 Jun 2011, 08:36
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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target:-810 out of 800!

Re: P&C Problem   [#permalink] 19 Jun 2011, 08:36
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