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Combinatorics

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  • Combinatorics
  • Combinatorics-1
  • Combinatorics-2

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  • Combinatorics

Symbols

  • CanonicalMultiset
  • CentralBinomialCoefficient
  • ConjugatePartition
  • DescendingSublists
  • DivisorHasseDiagram
  • DominatingIntegerPartitionQ
  • DurfeeSquare
  • EnumerateMultisetPartialDerangements
  • EulerianCatalanNumber
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  • EulerianNumberOfTheSecondKind
  • FerrersDiagram
  • Fibbinary
  • FibonacciEncode
  • FindAscentElements
  • FindAscentPositions
  • FrobeniusSymbolFromPartition
  • FromInversionVector
  • FromPartitionPlusNotation
  • FromPartitionSuperscriptNotation
  • GaussFactorial
  • GrayCode
  • HasseDiagram
  • HookLengths
  • HuffmanCodeWords
  • HuffmanDecode
  • HuffmanEncode
  • IntegerPartitionQ
  • InverseFibonacci
  • InverseGrayCode
  • InversionCount
  • InversionVectorQ
  • LehmerCodeFromPermutation
  • LucasNumberU1
  • LucasNumberV2
  • ModifiedCentralBinomialCoefficient
  • Multichoose
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  • NarayanaNumber
  • NextPermutation
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  • OrderedTupleFromIndex
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  • OrderlessCombinations
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PeterBurbery`Combinatorics`
SelectTuples
​
SelectTuples
[list,n,crit]
generates a
list
of n-tuples of elements from
list
that satisfy
crit
.
​
​
SelectTuples
[{
list
1
,
list
2
,…},crit]
generates a
list
of all possible tuples whose
i
th element is from list
i
that satisfy
crit
.
​
​
SelectTuples
[…,crit,m]
picks at most the first
m
tuples that satisfy
crit
.
​
Details and Options

Examples  
(5)
Basic Examples  
(1)
Find out for which 2-tuple the sum is a prime:
In[1]:=
SelectTuples
[Range[10],2,PrimeQ@*Total]
Out[1]=
{{1,1},{1,2},{1,4},{1,6},{1,10},{2,1},{2,3},{2,5},{2,9},{3,2},{3,4},{3,8},{3,10},{4,1},{4,3},{4,7},{4,9},{5,2},{5,6},{5,8},{6,1},{6,5},{6,7},{7,4},{7,6},{7,10},{8,3},{8,5},{8,9},{9,2},{9,4},{9,8},{9,10},{10,1},{10,3},{10,7},{10,9}}
Only get the first five:
In[2]:=
SelectTuples
[Range[10],2,PrimeQ@*Total,5]
Out[2]=
{{1,1},{1,2},{1,4},{1,6},{1,10}}
Scope  
(1)

Applications  
(1)

Properties & Relations  
(1)

Possible Issues  
(1)

SeeAlso
Tuples
 
▪
Select
 
▪
SelectSubsets
 
▪
SelectPermutations
RelatedGuides
▪
Combinatorics
▪
Functions I understand in combinatorics
RelatedLinks
SelectTuples
Resource Function contributed by Sander Huisman
""

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