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Built-in
Mathematica
Symbol
Combinatorial Functions
Tutorials »
|
Multinomial
Pochhammer
Factorial
BinomialDistribution
Subsets
QBinomial
FactorialPower
See Also »
|
Combinatorial Functions
Discrete Mathematics
Functions Used in Statistics
Gamma Functions and Related Functions
Integer Functions
Integer Sequences
Mathematical Functions
Recurrence and Sum Functions
More About »
Binomial
Binomial
[
n
,
m
]
gives the binomial coefficient
.
MORE INFORMATION
Integer mathematical function, suitable for both symbolic and numerical manipulation.
In general,
is defined by
or suitable limits of this.
For integers and certain other special arguments,
Binomial
automatically evaluates to exact values.
Binomial
is automatically evaluated symbolically for simple cases;
FunctionExpand
gives results for other cases.
Binomial
can be evaluated to arbitrary numerical precision.
Binomial
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Evaluate 10 choose 3:
In[1]:=
Out[1]=
Construct Pascal's triangle:
In[1]:=
Out[1]=
Scope
(8)
Generalizations & Extensions
(2)
Applications
(8)
Properties & Relations
(4)
Possible Issues
(3)
Neat Examples
(6)
SEE ALSO
Multinomial
Pochhammer
Factorial
BinomialDistribution
Subsets
QBinomial
FactorialPower
TUTORIALS
Combinatorial Functions
RELATED LINKS
Demonstrations with Binomial
(
Wolfram Demonstrations Project
)
Implementation notes: Numerical and Related Functions
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Combinatorial Functions
Discrete Mathematics
Functions Used in Statistics
Gamma Functions and Related Functions
Integer Functions
Integer Sequences
Mathematical Functions
Recurrence and Sum Functions
New in 1
. 
is defined by 
or suitable limits of this.
EXAMPLES
Basic Examples 
Scope 