Difference between revisions of "Manuals/calci/COMBINATIONS"

Revision as of 16:22, 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" .
$_{n}C_{k}={\binom {n}{k}}={\frac {n!}{k!(n-k)!}}$ .
Here COMBINATIONS shows the choices of the selected objects.

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

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

@@ Line 8: / Line 8: @@
 *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>_nC_k =\binom{n}{k}= \frac{n!}{k!(n-k)!}</math> nck= Formula.
+*Also known as the binomial coefficient or choice number and read "n choose k" .
+*<math>_nC_k =\binom{n}{k}= \frac{n!}{k!(n-k)!}</math>.
 *Here COMBINATIONS shows the choices of the selected objects.
+==Examples==
+.COMBINATIONS([3,8,12],2)
+{| class="wikitable"
+|-
+|3|| 8
+|-
+|3 || 12
+|-
+|8 || 12
+|}
+.COMBINATIONS([10,18,300,23,192],3)
+{| class="wikitable"
+|-
+|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
+|}