Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
PeterBurbery`Combinatorics`
Multichoose  |
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Details and Options
Examples
(10)
Basic Examples
(6)
Evaluate numerically:
In[1]:=
 | Multichoose |
Out[1]=
220
Construct Pascal's triangle:
In[1]:=
ColumnTable
[n,k],{n,0,5},{k,0,n},Center
 | Multichoose |
Out[1]=
{1} |
{1,1} |
{1,2,3} |
{1,3,6,10} |
{1,4,10,20,35} |
{1,5,15,35,70,126} |
Plot over a subset of the reals as a function of its first parameter:
In[1]:=
Plot
[x,3],{x,-2,4}
 | Multichoose |
Out[1]=
Plot over a subset of the reals as a function of its second parameter:
In[2]:=
Plot
[3,x],{x,-2,4}
| Multichoose |
Out[2]=
Plot over a subset of the complexes:
In[1]:=
Rasterize@ComplexPlot3D
[z,1/5],{z,-2-2I,2+2I},PlotLegendsAutomatic
 | Multichoose |
Out[1]=
Series expansion at the origin:
In[1]:=
Series
x,,{x,0,2}//FullSimplify
| Multichoose |
1
2
Out[1]=
2x-2Log[4]+
2
x
3
O[x]
Series expansion at Infinity:
In[1]:=
Series
x,,{x,∞,3}//FullSimplify
| Multichoose |
1
2
Out[1]=
2
x
π
1
x
4
π
3/2
1
x
64
π
5
5/2
1
x
512
π
7/2
O
1
x
In[2]:=
Series
x,,{x,∞,3}//FullSimplify
| Multichoose |
1
3
Out[2]=
3
1/3
x
Gamma
1
3
2/3
1
x
3Gamma
1
3
10
8/3
1
x
729Gamma
1
3
19/6
O
1
x
Properties & Relations
(2)
Neat Examples
(2)
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