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BinomialCoefficient Command

Command Descriptions

A

Angle AffineRatio AngleBisector Append Arc Area Asymptote Axes AxisStepX AxisStepY

B

BarChart BinomialCoefficient BoxPlot

C

CellRange Center Centroid Circle CircularArc CircularSector CircumcircularArc CircumcircularSector Circumference Column ColumnName Conic ConjugateDiameter ConstructionStep Corner CorrelationCoefficient CountIf Covariance CrossRatio Curvature CurvatureVector Curve

D

Delete Derivative Determinant Dilate Direction Directrix Distance Div

E

Element Ellipse Expand Extremum

F

Factor First FitExp FitLine FitLineX FitLog FitLogistic FitPoly FitPow FitSin Focus FormulaText FractionText Function

G

GCD

H

Histogram Hyperbola

I

If InflectionPoint Insert Integral Intersect Intersection InverseNormal Invert IsDefined IsInteger Iteration IterationList

J

Join

K

KeepIf

L

Last LCM Length LetterToUnicode Line LinearEccentricity Locus LowerSum

M

MajorAxis Max Mean MeanX MeanY Median Midpoint Min MinorAxis Mod Mode

N

Name Normal

O

Object OsculatingCircle

P

Parabola Parameter Perimeter PerpendicularBisector PerpendicularLine PerpendicularVector Point Polar Polygon Polynomial Product

Q

Q1 Q3

R

Radius RandomBetween RandomBinomial RandomNormal RandomPoisson Ray Reflect Relation RemoveUndefined Reverse Root Rotate

S

Row SD Sector Segment Semicircle SemiMajorAxisLength SemiMinorAxisLength Sequence SigmaXX SigmaXY SigmaYY Simplify Slope Sort Sum Sxx Sxy Syy

T

TableText Take Tangent TaylorPolynomial Text TextToUnicode Translate Transpose TrapezoidalSum

U

UnicodeToLetter UnicodeToText Union UnitPerpendicularVector UnitVector UpperSum

V

Variance Vector Vertex

Syntax

BinomialCoefficient[Number n, Number r]

Action

Computes binomial coefficient Failed to parse (Missing texvc executable; please see math/README to configure.): n

over Failed to parse (Missing texvc executable; please see math/README to configure.): r

, i.e n!/(r!(n-r)!).

Notes

Both n and r mus be positive integers. To compute the binomial coefficient for arbitrary Failed to parse (Missing texvc executable; please see math/README to configure.): n

and positive integer Failed to parse (Missing texvc executable; please see math/README to configure.): r
one can use Product[Sequence[(n-k+1)/k,k,1,r]]