|
Author |
Message |
|
TAGS:
|
|
|
Intern
Joined: 25 Jan 2013
Posts: 24
|
Eleven books consisting of 5 financial management, 4 marketi [#permalink]
Show Tags
 30 Jan 2013, 23:54
4
This post was
BOOKMARKED
D
E
Question Stats:
62% (03:18) correct
38% (02:07) wrong based on 108 sessions
HideShow timer Statistics
Eleven books consisting of 5 financial management, 4 marketing management and 2 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together. A. 1/1155 B. 1/1255 C. 1/1355 D. 1/1455 E. 1/1555
Official Answer and Stats are available only to registered users. Register/ Login.
Last edited by Bunuel on 31 Jan 2013, 04:10, edited 1 time in total.
RENAMED THE TOPIC.
|
|
|
|
|
|
Math Expert
Joined: 02 Sep 2009
Posts: 39673
|
Re: Eleven books consisting of 5 financial management, 4 marketi [#permalink]
Show Tags
31 Jan 2013, 04:25
3
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
antoxavier wrote: Eleven books consisting of 5 financial management, 4 marketing management and 2 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together.
A. 1/1155
B. 1/1255
C. 1/1355
D. 1/1455
E. 1/1555 (Probability of an event) = (Favorable) / (Total) The total number of ways to arrange 11 books in a row is 11!. 3 groups of books: financial management (F), marketing management (M) and system management (S), can be arranged in 3! ways: FMS, FSM, MFS, MSF, SFM, and SMF (this way all the books of each kind will be together). Now, books in F itself can be arranged in 5! ways, in M in 4! ways and in S in 2! ways. Hence, the total number of ways to arrange books so that books of each kind are together is 3!*5!*4!*2!. P = (3!*5!*4!*2!) / 11! = 1/1155. Answer: A. Hope it's clear. P.S. P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rule #3 (the name of a topic MUST be the first 40 characters (~the first two sentences) of the question).
_________________
New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!
Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.
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?
Extra-hard Quant Tests with Brilliant Analytics
|
|
|
|
|
|
Senior Manager
Joined: 14 Jul 2013
Posts: 293
Location: India
Concentration: Marketing, Strategy
GMAT 1: 690 Q49 V34 GMAT 2: 670 Q49 V33
GPA: 3.6
WE: Brand Management (Retail)
|
Re: Eleven books consisting of 5 financial management, 4 marketi [#permalink]
Show Tags
25 Aug 2013, 21:38
Since the denominator will be 11! . And there is no way to divide 11 from numerator and denominator. Use a multiple of 11 in the denominator only answer A  Posted from GMAT ToolKit
_________________
Cheers
Farhan
My Blog - Student for Life ( Oxford MBA)
|
|
|
|
|
|
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15978
|
Re: Eleven books consisting of 5 financial management, 4 marketi [#permalink]
Show Tags
15 Dec 2014, 04:58
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
|
|
|
|
|
|
CEO
Joined: 17 Jul 2014
Posts: 2524
Location: United States (IL)
Concentration: Finance, Economics
GPA: 3.92
WE: General Management (Transportation)
|
Eleven books consisting of 5 financial management, 4 marketi [#permalink]
Show Tags
28 Feb 2016, 11:01
I used a different approach..
total number of possible arrangements: 11!/5!4!2! = 6930.
only 1155 is a multiple of 6930.
A.
|
|
|
|
|
|
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15978
|
Re: Eleven books consisting of 5 financial management, 4 marketi [#permalink]
Show Tags
27 May 2017, 16:21
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
|
|
|
|
|
|
|
Re: Eleven books consisting of 5 financial management, 4 marketi
[#permalink]
27 May 2017, 16:21
|
|
|
|
|
|
|
|
|
|
|
Similar topics |
Author |
Replies |
Last post |
|
Similar
Topics:
|
|
 2
|
 |
Eleven years ago Tina was half as old as Ike will be in 4 years. If Ik
|
Bunuel |
7 |
02 Apr 2017, 00:34 |
|
|
5
|
|
There is a set consisting of 5 numbers--{1,2,3,4,5}.
|
chetan2u |
4 |
08 May 2016, 19:49 |
|
|
10
|
|
A class consists of 5 boys and 4 girls. Given that one kid can only ho
|
reto |
15 |
15 Mar 2017, 16:21 |
|
|
7
|
|
A reading list for a certain course consists of 10 books, of which 4 a
|
Bunuel |
10 |
31 May 2017, 19:02 |
|
|
5
|
|
In 2013, Mohammad’s work weeks consisted of 2, 4, or 5 days of work.
|
Bunuel |
10 |
09 Feb 2015, 04:42 |
|
|
|
|
|
|
