Binomial

Binomial[n,m]

gives the binomial coefficient .

Details

  • 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

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Basic Examples  (2)

Evaluate 10 choose 3:

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Construct Pascal's triangle:

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Scope  (7)

Generalizations & Extensions  (2)

Applications  (11)

Properties & Relations  (7)

Possible Issues  (3)

Neat Examples  (6)

See Also

Multinomial  Pochhammer  Factorial  BinomialDistribution  Subsets  QBinomial  FactorialPower

Tutorials

Introduced in 1988
(1.0)