Difference between revisions of "Manuals/calci/COMBINATIONS"

Revision as of 15:02, 22 December 2016

COMBINATIONS (Array,HowMany)

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," ${\binom {n}{k}}={\frac {n!}{k!(n-k)!}}$ nck= Formula.
Here COMBINATIONS shows the choices of the selected objects.

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 *In <math>COMBINATIONS (Array,HowMany)</math>,<math>Array</math> is the set of numbers and <math>Howmany</math> 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," <math>\binom{n}{k}= \binom{n-1}{k-1} +\binom{n-1}{k}</math> nck= Formula.
+*Also known as the binomial coefficient or choice number and read "n choose k," <math>\binom{n}{k}= \frac{n!}{k!(n-k)!}</math> nck= Formula.
 *Here COMBINATIONS shows the choices of the selected objects.