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nPr(
n, r
)
Returns the number of permutations of a subset of
r
elements from a set of
n
elements.
nPr(n,r) = n! / (n-r)!
References
http://mathworld.wolfram.com/Permutation.html
http://en.wikipedia.org/wiki/Permutation
Related Functions
nCr
,
Factorial
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A
abs
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z
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AiryAi
(
z
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AiryBi
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z
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AlternatingSeries
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n, [terms]
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Angle
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A, B
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Animate
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variable, start, end, [step], [value], [fps]
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Apart
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Arg
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z
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B
BarPlot
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list1, frequency1, ...
)
Bernoulli
(
n, [z]
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BesselI
(
v, z
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BesselJ
(
v, z
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BesselK
(
v, z
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BesselY
(
v, z
)
Beta
(
m, n
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Binomial
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n, r
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BinomialCDF
(
n, p, x
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BinomialPDF
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n, p, x
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BodePlot
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function, variable, minimum, maximum, mode
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BoxPlot
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x, [frequency1], [x2], [frequency2], ...
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Button
(
name, [list], [value]
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C
Call
(
function, parameter1, parameter2, ...
)
Caps
(
string, index, [mode]
)
Catalan
(
n
)
Ceil
(
z
)
cFrac
(
n, [terms]
)
Char
(
x
)
ChebyshevT
(
n, z
)
ChebyshevU
(
n, z
)
CheckBox
(
variable, [value]
)
Chi
(
z
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ChiSquareCDF
(
lower, upper, df
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ChiSquarePDF
(
x, df
)
Cholesky
(
A
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Choose
(
test1, value1, test2, value2, ...
)
Ci
(
z
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Clear
(
variable, ...
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clip
(
x, [min], [max]
)
Coefficient
(
f(x), x, degree
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coFactor
(
matrix, i, j
)
Command
(
setting
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Conj
(
z
)
ContourPlot
(
expression, ...
)
Convergents
(
n, [mode=0], [terms]
)
Cross
(
A, B
)
CubicFit
(
[x], y
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CubicFitModel
(
[x], y
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CubicFitPlot
(
[x], y
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Curl
(
vector, [varlist], [mode]
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CylindricalPlot3D
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expression, ...
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D
D
(
f(x), x, [n]
)
Date
(
letter
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Dawson
(
z
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Degree
(
expression
)
DEGtoDMS
(
angle, [digits]
)
Delete
(
expression, position, [length]
)
Denominator
(
expression
)
Det
(
A
)
Diff
(
f(x), x
)
DiGamma
(
z
)
DiLog
(
z
)
Dirichlet_Eta
(
z
)
Dirichlet_Lambda
(
z
)
Divergence
(
[varlist], vector, [mode]
)
Divisors
(
n
)
DivisorSigma
(
n
)
Dot
(
A, B
)
DSolve
(
equation, dependent(independent), values, mode=1
)
Duf
(
function, [varlist], [point], [direction]
)
dynamic
(
name, value
)
E
Ei
(
z
)
Eigenvalues
(
A
)
Eigenvectors
(
A
)
Else If
(
condition
)
Erf
(
z
)
Erfc
(
z
)
Error
(
string
)
Euler
(
n, [z]
)
Eulerian
(
n, k
)
Eval
(
function, variable, value
)
Exp
(
z
)
Expand
(
expression
)
ExpConvert
(
expression
)
ExpFit
(
[x], y
)
ExpFitModel
(
[x], y
)
ExpFitPlot
(
[x], y
)
ExponentialFit
(
[x], y
)
ExponentialFitModel
(
[x], y
)
ExponentialFitPlot
(
[x], y
)
Extract
(
expression, position, [length]
)
F
Factor
(
expression
)
Factorial
(
n
)
Fcdf
(
lower, upperbound, numerator, denominator
)
fDiff
(
f(x,y,z,..), (x,y,z,...)
)
Fibonacci
(
n, [z]
)
Finance
(
PV, FV, Pmt, i, n, [mode=0]
)
FindFit
(
function, variable, [x], y
)
FindFitModel
(
function, variable, [x], y
)
FindFitPlot
(
function, variable, [x], y
)
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(
matrix
)
Floor
(
z
)
FourierCos
(
f(x), x, w
)
FourierExpSeries
(
f(x), x, n
)
FourierSeries
(
f(x), x, [n], [mode]
)
FourierSin
(
f(x), x, w
)
FourierTrigSeries
(
f(x), x, n
)
fPart
(
z
)
Fpdf
(
x, d1, d2
)
FractalPlot
(
expression, ...
)
FresnelCos
(
z
)
FresnelSin
(
z
)
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(
x, [T]
)
Function
(
function, parameter1, parameter2, ...
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G
Gamma
(
z
)
GCD
(
n1, n2
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GegenbauerC
(
n, a, z
)
GeoCDF
(
p, x
)
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(
p, x
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Gradient
(
function, [varlist], [mode]
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Gudermannian
(
z
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H
HalfRectSineWave
(
x, [T]
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HankelH1
(
v, z
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(
v, z
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Harmonic
(
z
)
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(
x
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HermiteH
(
n, z
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(
function, [varlist], [mode]
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HRStoHMS
(
hours, [digits]
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http
(
url, [filter]
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Hypergeom_2F1
(
a, b, c, z, [mode]
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I
Identity
(
n
)
iDiff
(
f(x,y,z,..), dependant_variables, independant_variables
)
If
(
condition
)
iLaplace
(
F(s), s
)
Im
(
z
)
ImagePlot
(
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ImaginaryPart
(
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(
A
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(
p, [mu], [sigma]
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invGudermannian
(
z
)
iPart
(
z
)
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expression
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IsMatrix
(
expression
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IsNumber
(
expression
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(
expression, variable
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IsPrime
(
n
)
J
Jacobian
(
function, [varlist], [point]
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json
(
data, [filter]
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JuliaPlot
(
expression, ...
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K
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(
v, z
)
KelvinBer
(
v, z
)
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(
v, z
)
KelvinKer
(
v, z
)
L
LaguerreL
(
n, z
)
LambertW
(
z
)
Laplace
(
f(t), t
)
Laplacian
(
function, [varlist], [mode]
)
LCM
(
n1, n2
)
Left
(
expression
)
LegendreP
(
n, z
)
LegendreQ
(
n, z
)
Length
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expression
)
Li
(
x
)
Limit
(
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)
LinearFit
(
[x], y
)
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(
[x], y
)
LinearFitPlot
(
[x], y
)
List
(
length
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ListMap
(
list, name, [value]
)
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(
x, [y], [x2], [y2]
)
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(
x, y, z, [x2], [y2], [z2], ...
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Ln
(
z
)
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(
[x], y
)
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(
[x], y
)
LnFitPlot
(
[x], y
)
LnGamma
(
z
)
local
(
name, value
)
Log
(
[n], z
)
LogisticFit
(
[x], y
)
LogisticFitModel
(
[x], y
)
LogisticFitPlot
(
[x], y
)
Lucas
(
n, [z]
)
M
Matrix
(
rows, [columns]
)
MatrixLU
(
matrix, [mode]
)
MatrixMap
(
matrix, name, [value]
)
MatrixQR
(
A
)
MatrixSVD
(
A
)
Max
(
number, ...
)
Mean
(
list
)
MedianFit
(
[x], y
)
MedianFitModel
(
[x], y
)
MedianFitPlot
(
[x], y
)
Message
(
string
)
Min
(
list
)
Mod
(
m, n
)
Multinomial
(
nList
)
MultiPlot
(
plot1, plot2, ...
)
MultiPlot3D
(
expression, ...
)
N
nCr
(
n, r
)
NIntegrate
(
f(x), x, a, b
)
Norm
(
z
)
NormalCDF
(
lower, upper, [mu], [sigma]
)
NormalPDF
(
x, mu, sigma
)
nPr
(
n, r
)
nPrimes
(
n
)
nRoot
(
z, n, [mode]
)
P
ParametricPlot
(
expression, ...
)
ParametricPlot3D
(
expression, ...
)
Part
(
expression, n
)
pDiff
(
f(x,y,z,..), dependent_variables, dependent_equations, independent_variables
)
Pi_Digits
(
n
)
Plot
(
expression, ...
)
Plot3D
(
expression, ...
)
Pochhammer
(
n, k
)
PoissonCDF
(
mu, x
)
PoissonPDF
(
mu, x
)
PolarPlot
(
expression, ...
)
PolyDivide
(
f(z), g(z)
)
PolyFit
(
pList, var
)
PolyGamma
(
n, z
)
PolyGCD
(
polynomial1, polynomial2
)
PolyLCM
(
polynomial1, polynomial2, [mode=1]
)
PolyLog
(
n, z
)
PowerExpand
(
expression
)
PowerFit
(
[x], y
)
PowerFitModel
(
[x], y
)
PowerFitPlot
(
[x], y
)
Prime
(
n
)
Primorial
(
n
)
Product
(
f(n), n, start, end
)
Psi
(
z
)
Q
QuadraticFit
(
[x], y
)
QuadraticFitModel
(
[x], y
)
QuadraticFitPlot
(
[x], y
)
QuarticFit
(
[x], y
)
QuarticFitModel
(
[x], y
)
QuarticFitPlot
(
[x], y
)
Quotient
(
f(x), g(x)
)
R
Random
(
min, max, [size1], [size2]
)
Re
(
z
)
RealPart
(
expression
)
Remainder
(
f(x), g(x)
)
Replace
(
expression, old, new
)
Reshape
(
matrix
)
Return
(
expression
)
Reverse
(
list
)
Right
(
expression
)
RK4
(
function, t, y, a, b, y0, N=10
)
RK45
(
function, t, y, a, b, y0, Tol=10E-5, hmax=0.25, hmin=10E-6, N=20
)
Round
(
number, digits
)
RowReduce
(
A
)
S
SawToothWave
(
x, [T]
)
Sequence
(
f(x), x, start, end, [step], [start term], [number of terms]
)
Series
(
f(z), z, n
)
Shi
(
z
)
Si
(
z
)
Sign
(
z
)
SimplifyFunction
(
expression
)
SimplifyPoly
(
f(x)/g(x), [variable]
)
sin
(
z
)
SinFit
(
[x], y
)
SinFitModel
(
[x], y
)
SinFitPlot
(
[x], y
)
Size
(
list
)
Slider
(
variable, start, end, [step], [initial value]
)
Solve
(
f(x), x, [guess]
)
SolveSystem
(
equations, [variables], [guesses]
)
Sort
(
list
)
SphericalPlot3D
(
expression, ...
)
Sqrt
(
z
)
SquareWave
(
x, [T]
)
StaircaseWave
(
x, [T]
)
StandardDeviation
(
list
)
String
(
expression1, expression2, ...
)
StudentTCDF
(
x, df
)
StudentTPDF
(
x, df
)
Sum
(
f(n), n, start, end
)
SurfaceNormal
(
function, [varlist], [point]
)
T
Together
(
expression
)
Trace
(
variable
)
Transpose
(
A
)
TriangleWave
(
x, [T]
)
TrigConvert
(
expression
)
TrigExpand
(
expression
)
TrigReduce
(
expression
)
V
Variables
(
expression
)
Variance
(
list
)
VectorPlot
(
list, ...
)
VectorPlot3D
(
list, ...
)
W
While
(
condition
)
Z
Zeta
(
z, [a]
)
Computing
