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

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DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION)  [#permalink]

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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

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HARD (FOR PRACTICE): https://gmatclub.com/forum/5-rings-on-4 ... 86111.html
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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
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Joined: 02 Sep 2009
Posts: 52431
DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION)  [#permalink]

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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
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Joined: 02 Sep 2009
Posts: 52431
Re: DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION)  [#permalink]

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New post 29 Jan 2018, 07:23
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Re: DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION) &nbs [#permalink] 29 Jan 2018, 07:23
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DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION)

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