Manuals/calci/COMBINATIONS

COMBINATIONS (Array,HowMany)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array } is the set of numbers.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle HowMany} is the number of choices.

Description

This function shows the combination of the given numbers.
A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected.
In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle COMBINATIONS (Array,HowMany)} ,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array} is the set of numbers and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Howmany} is the described number of choice.
The number of ways of picking k unordered outcomes from n possibilities.
Also known as the binomial coefficient or choice number and read "n choose k" .
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle _nC_k =\binom{n}{k}= \frac{n!}{k!(n-k)!}} .
Here COMBINATIONS shows the choices of the selected objects.

Examples

1.COMBINATIONS([3,8,12],2)

3	8
3	12
8	12

2.COMBINATIONS([10,18,300,23,192],3)

10	18	300
10	18	23
10	18	192
10	300	23
10	300	192
10	23	192
18	300	23
18	300	192
18	23	192
300	23	192

10	18	300
10	18	23
10	18	192
10	300	23
10	300	192
10	23	192
18	300	23
18	300	192
18	23	192
300	23	192

10	18	300
10	18	23
10	18	192
10	300	23
10	300	192
10	23	192
18	300	23
18	300	192
18	23	192
300	23	192

10	18	300
10	18	23
10	18	192
10	300	23
10	300	192
10	23	192
18	300	23
18	300	192
18	23	192
300	23	192