maths.ncr_combinations¶

Generalized combinations (n choose r) calculator for real total and integer choose. Wikipedia URL: https://en.wikipedia.org/wiki/Binomial_coefficient

Attributes¶

total_input

Functions¶

combinations(→ float)

Compute the number of combinations using the formula:

Module Contents¶

maths.ncr_combinations.combinations(total: float, choose: int) → float¶

Compute the number of combinations using the formula:

combinations = total * (total-1) * … * (total-choose+1) / choose!

Parameters¶

totalfloat: Total number of items. Can be any real number.
chooseint: Number of items to select. Must be a non-negative integer.

Returns¶

float: The number of combinations.

Raises¶

ValueError: If choose is not a non-negative integer.

Examples¶

>>> combinations(5, 2)
10.0
>>> combinations(5.5, 2)
12.375
>>> combinations(10, 0)
1.0
>>> combinations(0, 0)
1.0
>>> combinations(5, -1)
Traceback (most recent call last):
    ...
ValueError: choose must be a non-negative integer
>>> combinations(5, 2.5)
Traceback (most recent call last):
    ...
ValueError: choose must be a non-negative integer

maths.ncr_combinations.total_input¶