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.THEORYUnfair Distributions in Combinatorics  Part IUnfair Distributions in Combinatorics  Part IIFORMULAE1. 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 \(n+r1Cr1\)
4. The total number of ways of dividing n
identical items among r persons, each one of whom receives
at least one item is \(n1Cr1\)
QUESTIONShttps://gmatclub.com/forum/inhowmany ... 87128.htmlhttps://gmatclub.com/forum/inhowmany ... 25669.htmlhttps://gmatclub.com/forum/larrymichae ... 08739.htmlhttps://gmatclub.com/forum/inhowmany ... 26991.htmlhttps://gmatclub.com/forum/inhowmany ... 98697.htmlhttps://gmatclub.com/forum/howmanypos ... 85291.htmlhttps://gmatclub.com/forum/howmanyway ... 37198.htmlhttps://gmatclub.com/forum/inhowmany ... 41072.htmlhttps://gmatclub.com/forum/mrssmithha ... 98225.htmlhttps://gmatclub.com/forum/inhowmany ... 70689.htmlhttps://gmatclub.com/forum/inhowmany ... 05384.htmlhttps://gmatclub.com/forum/fourboyspi ... 98701.htmlhttps://gmatclub.com/forum/howmanyway ... 61598.htmlhttps://gmatclub.com/forum/inhowmany ... 73423.htmlhttp://gmatclub.com/forum/inhowmanyw ... 41070.htmlhttps://gmatclub.com/forum/inhowmany ... 64389.htmlhttps://gmatclub.com/forum/inhowmany ... 33322.htmlhttps://gmatclub.com/forum/inhowmany ... 31187.htmlhttps://gmatclub.com/forum/inhowmany ... 06279.htmlhttps://gmatclub.com/forum/inhowmany ... 26348.htmlhttps://gmatclub.com/forum/inhowmany ... 81816.htmlhttps://gmatclub.com/forum/inhowmany ... 34223.htmlhttps://gmatclub.com/forum/inhowmany ... 40328.htmlhttps://gmatclub.com/forum/inhowmany ... 40329.htmlhttps://gmatclub.com/forum/melandnora ... 34163.htmlhttps://gmatclub.com/forum/inhowmany ... 51692.htmlhttps://gmatclub.com/forum/inhowmany ... 43863.htmlhttps://gmatclub.com/forum/inhowmany ... 34222.htmlhttps://gmatclub.com/forum/inhowmany ... 47854.htmlhttps://gmatclub.com/forum/larrymichae ... 82046.htmlhttps://gmatclub.com/forum/ifjoshdoug ... 24273.htmlHARD (FOR PRACTICE):
https://gmatclub.com/forum/5ringson4 ... 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?
Extrahard Quant Tests with Brilliant Analytics