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DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION)
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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
02 Jan 2018, 01:53
Kudos
Bookmarks
21. Combinatorics/Counting Methods
- Theory
Math: Combinatorics
Combinatorics Made Easy!
1 hour Combinatorics Video Lesson
Combinations while dealing with similar and dissimilar things
When Permutations & Combinations and Data Sufficiency Come Together
For more:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread
Hope it helps.
29 Jan 2018, 08:23
Kudos
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