GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Nov 2018, 11:32

Gmatbusters' Weekly Quant Quiz

Join here 


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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     November 18, 2018

     November 18, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score. November 18th, 7 AM PST
  • How to QUICKLY Solve GMAT Questions - GMAT Club Chat

     November 20, 2018

     November 20, 2018

     09:00 AM PST

     10:00 AM PST

    The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.

DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION)

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50623
DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION)  [#permalink]

Show Tags

New post Updated on: 02 Jan 2018, 01:40

DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION)


!
This post is a part of the Special Questions Directory focusing on Quant topics traditionally neglected and not covered by conventional sources but still tested on the GMAT. Many of these are above average difficulty questions


Combinatorics questions which deal with dividing/distributing entities into groups.


THEORY

Unfair Distributions in Combinatorics - Part I
Unfair Distributions in Combinatorics - Part II


FORMULAE

1. The number of ways in which \(mn\) different items can be divided equally into \(m\) groups, each containing \(n\) objects and the order of the groups is important is \(\frac{(mn)!}{(n!)^m}\)

2. The number of ways in which \(mn\) different items can be divided equally into \(m\) groups, each containing \(n\) objects and the order of the groups is NOT important is \(\frac{(mn)!}{(n!)^m*m!}\).

3. The total number of ways of dividing n identical items among r persons, each one of whom, can receive 0, 1, 2 or more items \(n+r-1Cr-1\)

4. The total number of ways of dividing n identical items among r persons, each one of whom receives at least one item is \(n-1Cr-1\)


QUESTIONS

https://gmatclub.com/forum/in-how-many- ... 87128.html
https://gmatclub.com/forum/in-how-many- ... 25669.html
https://gmatclub.com/forum/larry-michae ... 08739.html
https://gmatclub.com/forum/in-how-many- ... 26991.html
https://gmatclub.com/forum/in-how-many- ... 98697.html
https://gmatclub.com/forum/how-many-pos ... 85291.html
https://gmatclub.com/forum/how-many-way ... 37198.html
https://gmatclub.com/forum/in-how-many- ... 41072.html
https://gmatclub.com/forum/mrs-smith-ha ... 98225.html
https://gmatclub.com/forum/in-how-many- ... 70689.html
https://gmatclub.com/forum/in-how-many- ... 05384.html
https://gmatclub.com/forum/four-boys-pi ... 98701.html
https://gmatclub.com/forum/how-many-way ... 61598.html
https://gmatclub.com/forum/in-how-many- ... 73423.html
http://gmatclub.com/forum/in-how-many-w ... 41070.html
https://gmatclub.com/forum/in-how-many- ... 64389.html
https://gmatclub.com/forum/in-how-many- ... 33322.html
https://gmatclub.com/forum/in-how-many- ... 31187.html
https://gmatclub.com/forum/in-how-many- ... 06279.html
https://gmatclub.com/forum/in-how-many- ... 26348.html
https://gmatclub.com/forum/in-how-many- ... 81816.html
https://gmatclub.com/forum/in-how-many- ... 34223.html
https://gmatclub.com/forum/in-how-many- ... 40328.html
https://gmatclub.com/forum/in-how-many- ... 40329.html
https://gmatclub.com/forum/mel-and-nora ... 34163.html
https://gmatclub.com/forum/in-how-many- ... 51692.html
https://gmatclub.com/forum/in-how-many- ... 43863.html
https://gmatclub.com/forum/in-how-many- ... 34222.html
https://gmatclub.com/forum/in-how-many- ... 47854.html
https://gmatclub.com/forum/larry-michae ... 82046.html
https://gmatclub.com/forum/if-josh-doug ... 24273.html

HARD (FOR PRACTICE): https://gmatclub.com/forum/5-rings-on-4 ... 86111.html
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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


Originally posted by Bunuel on 02 Jan 2018, 00:53.
Last edited by Bunuel on 02 Jan 2018, 01:40, edited 1 time in total.
Edited.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50623
DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION)  [#permalink]

Show Tags

New post 02 Jan 2018, 00:53

21. Combinatorics/Counting Methods



For more:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread


Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50623
Re: DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION)  [#permalink]

Show Tags

New post 29 Jan 2018, 07:23
GMAT Club Bot
Re: DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION) &nbs [#permalink] 29 Jan 2018, 07:23
Display posts from previous: Sort by

DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION)

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.