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Module « scipy.special »

Fonction comb - module scipy.special

Signature de la fonction comb

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

Description

help(scipy.special.comb)

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

This is often expressed as "N choose k".

Parameters
----------
N : int, ndarray
    Number of things.
k : int, ndarray
    Number of elements taken.
exact : bool, optional
    For integers, if `exact` is False, then floating point precision is
    used, otherwise the result is computed exactly.

    .. deprecated:: 1.14.0
        ``exact=True`` is deprecated for non-integer `N` and `k` and will raise an
        error in SciPy 1.16.0
repetition : bool, optional
    If `repetition` is True, then the number of combinations with
    repetition is computed.

Returns
-------
val : int, float, ndarray
    The total number of combinations.

See Also
--------
binom : Binomial coefficient considered as a function of two real
        variables.

Notes
-----
- Array arguments accepted only for exact=False case.
- If N < 0, or k < 0, then 0 is returned.
- If k > N and repetition=False, then 0 is returned.

Examples
--------
>>> import numpy as np
>>> 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

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