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

Related Videos

Combinations

See Also

• BINOMIAL
• BINOMIALCOEFFICIENT

References

Combinations

• List of Main Z Functions

• Z3 home