NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 19:48 It is currently 26 Apr 2024, 19:48
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

There are 4 books on physics and 2 books on maths.Find the

User avatar
4128851
Intern
Intern
Joined: 29 Aug 2003
Posts: 21
Own Kudos [?]: 6 [0]
Given Kudos: 0
Location: Mumbai
Send PM
There are 4 books on physics and 2 books on maths.Find the [#permalink] New post   11 Dec 2003, 04:39
There are 4 books on physics and 2 books on maths.Find the no. of ways in which these books can be arranged so that the books on maths are not together!



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
BG
Senior Manager
Senior Manager
Joined: 13 Nov 2003
Posts: 357
Own Kudos [?]: 176 [0]
Given Kudos: 0
Location: BULGARIA
Concentration: INSURANCE, RISK MANAGEMENT
 Q49  V38
Send PM
Re: There are 4 books on physics and 2 books on maths.Find the [#permalink] New post   11 Dec 2003, 04:46
6!-4!x3!=720-144=576... :)
User avatar
pitts20042006
Manager
Manager
Joined: 12 Oct 2003
Posts: 175
Own Kudos [?]: 18 [0]
Given Kudos: 0
Location: USA
Send PM
Re: There are 4 books on physics and 2 books on maths.Find the [#permalink] New post   11 Dec 2003, 05:01
please explain ...
User avatar
4128851
Intern
Intern
Joined: 29 Aug 2003
Posts: 21
Own Kudos [?]: 6 [0]
Given Kudos: 0
Location: Mumbai
Send PM
Re: There are 4 books on physics and 2 books on maths.Find the [#permalink] New post   11 Dec 2003, 06:46
No..this is not the answer!!! Its 480.
I m wondering how to get 480???
User avatar
BG
Senior Manager
Senior Manager
Joined: 13 Nov 2003
Posts: 357
Own Kudos [?]: 176 [0]
Given Kudos: 0
Location: BULGARIA
Concentration: INSURANCE, RISK MANAGEMENT
 Q49  V38
Send PM
Re: There are 4 books on physics and 2 books on maths.Find the [#permalink] New post   11 Dec 2003, 06:48
total number we can order the 6 books is 6!. When we take 4 maths together as one and the other 2 we can order these in 3! ways but for each of these orderings we will have 4! orderings of the 4 math books. Total number when maths are not together is 6!-4!x3!
User avatar
BG
Senior Manager
Senior Manager
Joined: 13 Nov 2003
Posts: 357
Own Kudos [?]: 176 [0]
Given Kudos: 0
Location: BULGARIA
Concentration: INSURANCE, RISK MANAGEMENT
 Q49  V38
Send PM
Re: There are 4 books on physics and 2 books on maths.Find the [#permalink] New post   11 Dec 2003, 06:53
Sorry but I got it other way round, i calculated for 4 mats and 2 physics. :oops: . when it is 4 physics and 2 maths it should be 6!-5!x2=720-240=480
User avatar
pitts20042006
Manager
Manager
Joined: 12 Oct 2003
Posts: 175
Own Kudos [?]: 18 [0]
Given Kudos: 0
Location: USA
Send PM
Re: There are 4 books on physics and 2 books on maths.Find the [#permalink] New post   11 Dec 2003, 06:55
there are 4 PHYSICS books and not math books.

using BG's CORRECT LOGIC ...

2 math books as 1 + 4 other books = 5!
2 math books can be arranged in 2! = 2 ways
# of ways which have 2 math books together = 5! * 2 = 120 * 2 = 240
# of total ways = 6! = 720

# of ways which DON'T have the 2 math books together = 720 - 240 = 480
User avatar
pitts20042006
Manager
Manager
Joined: 12 Oct 2003
Posts: 175
Own Kudos [?]: 18 [0]
Given Kudos: 0
Location: USA
Send PM
Re: There are 4 books on physics and 2 books on maths.Find the [#permalink] New post   11 Dec 2003, 06:56
well was typing when BG already posted his correction! so you can ignore my post
User avatar
Praetorian
CEO
CEO
Joined: 15 Aug 2003
Posts: 2876
Own Kudos [?]: 1649 [0]
Given Kudos: 781
Send PM
Re: There are 4 books on physics and 2 books on maths.Find the [#permalink] New post   13 Dec 2003, 00:20
4128851 wrote:
There are 4 books on physics and 2 books on maths.Find the no. of ways in which these books can be arranged so that the books on maths are not together!


total # of ways of arranging these "distinguishable" books

6! = 720

ways in which math books are ALWAYS together.

5! *2! =240

required # of ways = 720 - 240 = 480



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: There are 4 books on physics and 2 books on maths.Find the [#permalink]
13 Dec 2003, 00:20
Moderator:
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions