Find all School-related info fast with the new School-Specific MBA Forum

It is currently 01 Aug 2014, 01:52

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

There are five different boxes with building materials. In

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 13 Mar 2007
Posts: 296
Location: Russia, Moscow
Followers: 2

Kudos [?]: 18 [0], given: 0

GMAT Tests User
There are five different boxes with building materials. In [#permalink] New post 08 Aug 2007, 11:39
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
There are five different boxes with building materials. In how many ways those boxes could be distributed among six floores of a building if exactly one of the boxes should be on the fifth floor and the other four could be placed at any other floor.

(A) 720
(B) 7.776
(C) 3.125
(D) 680
(E) 64

Last edited by Vlad77 on 09 Aug 2007, 06:59, edited 1 time in total.
VP
VP
avatar
Joined: 10 Jun 2007
Posts: 1467
Followers: 5

Kudos [?]: 95 [0], given: 0

GMAT Tests User
Re: PS question [#permalink] New post 08 Aug 2007, 12:06
Vlad77 wrote:
There are five different boxes with building materials. In how many ways those boxes could be distributed among six stores of a building if exactly one of the boxes should be on the fifth floor and the other four could be placed at any other store.

(A) 720
(B) 7.776
(C) 3.125
(D) 680
(E) 64


I don't know how floor and store are related.
Senior Manager
Senior Manager
User avatar
Joined: 13 Mar 2007
Posts: 296
Location: Russia, Moscow
Followers: 2

Kudos [?]: 18 [0], given: 0

GMAT Tests User
Re: PS question [#permalink] New post 09 Aug 2007, 07:00
bkk145 wrote:
Vlad77 wrote:
There are five different boxes with building materials. In how many ways those boxes could be distributed among six stores of a building if exactly one of the boxes should be on the fifth floor and the other four could be placed at any other store.

(A) 720
(B) 7.776
(C) 3.125
(D) 680
(E) 64


I don't know how floor and store are related.


Sorry :oops: , I have corrected the question :!:
VP
VP
avatar
Joined: 10 Jun 2007
Posts: 1467
Followers: 5

Kudos [?]: 95 [0], given: 0

GMAT Tests User
Re: PS question [#permalink] New post 09 Aug 2007, 07:40
Vlad77 wrote:
There are five different boxes with building materials. In how many ways those boxes could be distributed among six floores of a building if exactly one of the boxes should be on the fifth floor and the other four could be placed at any other floor.

(A) 720
(B) 7.776
(C) 3.125
(D) 680
(E) 64


Hmm, I didn't get any of the answer, but here is how I did it..
Say if boxes are A,B,C,D,E
If A is on fifth floor, you have 5 floors left with four boxes. So for this case, you get P(5,4) = 2*3*4*5 = 120
If you have five boxes, you should get 120*5 = 600.
Maybe someone else can try.
Director
Director
User avatar
Joined: 12 Jul 2007
Posts: 867
Followers: 12

Kudos [?]: 192 [0], given: 0

GMAT Tests User
Re: PS question [#permalink] New post 09 Aug 2007, 07:46
bkk145 wrote:
Vlad77 wrote:
There are five different boxes with building materials. In how many ways those boxes could be distributed among six floores of a building if exactly one of the boxes should be on the fifth floor and the other four could be placed at any other floor.

(A) 720
(B) 7.776
(C) 3.125
(D) 680
(E) 64


Hmm, I didn't get any of the answer, but here is how I did it..
Say if boxes are A,B,C,D,E
If A is on fifth floor, you have 5 floors left with four boxes. So for this case, you get P(5,4) = 2*3*4*5 = 120
If you have five boxes, you should get 120*5 = 600.
Maybe someone else can try.


this was my line of thought as well. I'm waiting for someone to come in and show us how it's done...
Director
Director
User avatar
Joined: 09 Aug 2006
Posts: 529
Followers: 2

Kudos [?]: 22 [0], given: 0

GMAT Tests User
Re: PS question [#permalink] New post 09 Aug 2007, 11:43
Vlad77 wrote:
There are five different boxes with building materials. In how many ways those boxes could be distributed among six floores of a building if exactly one of the boxes should be on the fifth floor and the other four could be placed at any other floor.

(A) 720
(B) 7.776
(C) 3.125
(D) 680
(E) 64


I am also getting 600 as the answer.

Lets say we have five boxes A, B, C, D, E.

And 6 floors F1, F2, F3, F4, F5, F6

Either of 5 boxes can be kept on F5 floor hence 5 ways.
Let's keep F6 as empty 1st.
For each of the above 5 way, we have, 4 boxes placed in on floors F1, F2, F3 and F4 in 4! ways = 4.3.2 = 24.
Hence we have 24.5 = 120 ways of keeping boxes on 5 floors when F6 is empty.
Now we can repeat this exercise for each floor except F5. So we have 120 ways for each 5 floors which comes as 120 * 5 = 600 ways. I am sure we are not missing anything. Hence I think the answer is 600.

Vlad77, Could you please check if you have not done any typo ..

What is the OA ?
Director
Director
User avatar
Joined: 12 Jul 2007
Posts: 867
Followers: 12

Kudos [?]: 192 [0], given: 0

GMAT Tests User
 [#permalink] New post 09 Aug 2007, 12:47
Vlad77 wrote:
The OA is C (5^4*5)


there is no way you can have over 3,000 possible permutations in this situation.

but at the same time that's odd they wouldn't have what we think is the correct answer even listed.
Intern
Intern
avatar
Joined: 06 Aug 2007
Posts: 46
Followers: 0

Kudos [?]: 1 [0], given: 0

 [#permalink] New post 09 Aug 2007, 15:28
it is 3125, and C (3.125 I think is a typo). 5x5x5x5x5
  [#permalink] 09 Aug 2007, 15:28
    Similar topics Author Replies Last post
Similar
Topics:
The difference in the rectangular box Dmitriy 0 27 Sep 2013, 07:17
Even those buildings made of the best of materials are being summer101 1 27 Jun 2013, 02:32
Experts publish their posts in the topic Material Difference Between Four Years WE and Five Years? beehagit 3 01 Sep 2011, 18:07
9 Experts publish their posts in the topic If the box shown is a cube, then the difference in length be lbsgmat 10 09 Aug 2009, 10:36
There are five different pairs of boots in the box. Find the KillerSquirrel 4 02 Oct 2007, 10:10
Display posts from previous: Sort by

There are five different boxes with building materials. In

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.