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Combination

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations). For example, given three fruits, say an apple, an orange and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange; or a pear…

Number of k-combinations, Number of k-combinations for all k & Number of combinations with repetition

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Number of k-combinations

Binomial formulaNatural numbersProductPascal's triangleNumerator
12 related topics

Number of k-combinations for all k

Base 2SubsetsEmpty set
3 related topics

Number of combinations with repetition

Diophantine equationStars and bars
2 related topics

Number of ways to put objects into bins

Multinomial coefficientEquivalence class
2 related topics

Topics to explore

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Overview

Number of k-combinations

Number of combinations with repetition

Number of k-combinations for all k

Number of ways to put objects into bins

Advanced semantic analysis

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Map overview Semantic statistics

Combination

Nodes33
Edges32
Triples33
Avg. degree1.94
Density0.060606
Components1

How this topic connects Entity context

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Combination

Top relations

related to Enumerating k-combinations · 8
Combination → Assuming, If, It, One, Repeating, The, Then, There
related to Number of k-combinations for all k · 6
Combination → Given, In, Pascal's, The, There, These
related to Probability: sampling a random combination · 5
Combination → Another, One, Rejection, Reservoir, There
related to Number of combinations with repetition · 4
Combination → Associate, Diophantine, In, The
related to External links · 3
Combination → An, Many Common, Unknown Formula For
is a · 2
Combination → selection of items from a set that has distinct members, selection of n things taken k at a time without repetition
related to Number of k-combinations · 2
Combination → One, The
related to Number of ways to put objects into bins · 2
Combination → The, This

Important terminology Word statistics

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Important terminology

displaystyle set binom number elements combinations frac k-combinations one k-combination binomial formula 52 order distinct example given n-k coefficient two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Combinationis aselection of items from a set that has distinct members0.90text
Combinationis aselection of n things taken k at a time without repetition0.90text
C k ninstance ofor by a variation0.80text
Combinationrelated to Enumerating k-combinationsOne0.60section
Combinationrelated to Enumerating k-combinationsAssuming0.60section
Combinationrelated to Enumerating k-combinationsThe0.60section
Combinationrelated to Enumerating k-combinationsRepeating0.60section
Combinationrelated to Enumerating k-combinationsIf0.60section
Combinationrelated to Enumerating k-combinationsIt0.60section
Combinationrelated to Enumerating k-combinationsThere0.60section
Combinationrelated to Enumerating k-combinationsThen0.60section
Combinationrelated to External linksMany Common0.60section

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