Manuals/calci/COMBINATIONS

COMBINATIONS (Array,HowMany)

• $Array$ is the set of numbers.
• $HowMany$ 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 $COMBINATIONS(Array,HowMany)$,$Array$ is the set of numbers and $Howmany$ 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" .
• $_{n}C_{k}={\binom {n}{k}}={\frac {n!}{k!(n-k)!}}$.
• 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

See Also

• BINOMIAL
• BINOMIALCOEFFICIENT

References

Combinations

• List of Main Z Functions

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