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Built-in
Mathematica
Symbol
Some Mathematical Functions
Combinatorial Functions
Tutorials »
|
Gamma
Binomial
Pochhammer
Factorial2
FactorialPower
Subfactorial
QFactorial
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 »
Factorial
(!)
n
!
gives the factorial of
n
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
For non-integer
n
, the numerical value of
n
!
is given by
Gamma
[1+
n
]
.
For integers and half integers,
Factorial
automatically evaluates to exact values.
Factorial
can be evaluated to arbitrary numerical precision.
Factorial
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(7)
Generalizations & Extensions
(4)
Applications
(6)
Properties & Relations
(6)
Possible Issues
(2)
Neat Examples
(3)
SEE ALSO
Gamma
Binomial
Pochhammer
Factorial2
FactorialPower
Subfactorial
QFactorial
TUTORIALS
Some Mathematical Functions
Combinatorial Functions
RELATED LINKS
Demonstrations with Factorial
(
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
EXAMPLES
Basic Examples 
Scope 