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Every morning, Casey walks from her house to the bus stop

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Manager
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Every morning, Casey walks from her house to the bus stop [#permalink] New post 04 Nov 2010, 06:05
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Encountered another question and dont know how to proceed:

Every morning, Casey walks from her house to the bus stop. She always travels exactly nine blocks from her house to the bus, but she varies the route she takes every day. (One sample route is shown). How many days can Casey walk from her house to the bus stop without repeating the same route?
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Re: A nickel, a dime, and 2 quarters [#permalink] New post 04 Nov 2010, 06:35
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Expert's post
krishnasty wrote:
Encountered another question and dont know how to proceed:

Every morning, Casey walks from her house to the bus stop. She always travels exactly nine blocks from her house to the bus, but she varies the route she takes every day. (One sample route is shown). How many days can Casey walk from her house to the bus stop without repeating the same route?


In order to travel exactly nine blocks Casey should go 5 block down and 4 block left - DDDDDLLLL.

# of permutations of 9 letters DDDDDLLLL out of which there are 5 identical D's and 4 identical L's is \frac{9!}{5!4!}.

Hope it's clear.
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Re: Casey and the bus [#permalink] New post 04 Nov 2010, 12:17
what is the OA to this? i only got 36 routes.
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Re: Every morning, Casey walks from her house to the bus stop [#permalink] New post 24 Sep 2013, 21:43
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Re: Every morning, Casey walks from her house to the bus stop [#permalink] New post 25 Sep 2013, 00:46
Expert's post
krishnasty wrote:
Encountered another question and dont know how to proceed:

Every morning, Casey walks from her house to the bus stop. She always travels exactly nine blocks from her house to the bus, but she varies the route she takes every day. (One sample route is shown). How many days can Casey walk from her house to the bus stop without repeating the same route?


Similar questions to practice:
grockit-similar-to-og-quant-qustion-99962.html
pat-will-walk-from-intersection-a-to-intersection-b-along-a-68374.html
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: Every morning, Casey walks from her house to the bus stop [#permalink] New post 25 Sep 2013, 06:23
The answer should be 126

9!/(4!*5!) or (9*8*7*6*5)/(4*3*2*1)
Re: Every morning, Casey walks from her house to the bus stop   [#permalink] 25 Sep 2013, 06:23
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Every morning, Casey walks from her house to the bus stop

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