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comb(N, k, exact=False, repetition=False)

This is often expressed as "N choose k".

Notes

Parameters

N : int, ndarray

Number of things.

k : int, ndarray

Number of elements taken.

exact : bool, optional

If :None:None:`exact` is False, then floating point precision is used, otherwise exact long integer is computed.

repetition : bool, optional

If :None:None:`repetition` is True, then the number of combinations with repetition is computed.

Returns

val : int, float, ndarray

The total number of combinations.

The number of combinations of N things taken k at a time.

See Also

binom

Binomial coefficient ufunc

Examples

>>> from scipy.special import comb
... k = np.array([3, 4])
... n = np.array([10, 10])
... comb(n, k, exact=False) array([ 120., 210.])
>>> comb(10, 3, exact=True)
120
>>> comb(10, 3, exact=True, repetition=True)
220
See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.linalg._special_matrices.invpascal scipy.special._basic.comb scipy.linalg._special_matrices.pascal

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GitHub : /scipy/special/_basic.py#2176
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