Difference between revisions of "Manuals/calci/COMBIN"

Revision as of 06:44, 19 November 2013

COMBIN(n,r)

This function gives the combination of $n$ objects.
i.e An arrangement of $r$ objects without any repetition, selected from $n$ different objects is called a combination of $n$ objects taken $r$ at a time.
If the order is not a matter, it is a Combination.
If the order is a matter it is a Permutation.
A combination is denoted by nCr or ${\binom {n}{r}}$ .
A formula for the number of possible combinations of $r$ objects from a set of $n$ objects is ${\binom {n}{r}}={\frac {n!}{r!(n-r)!}}$ where $n!=1*2*3*...*n$ & $r\leq n$ .
This function will give Error Result when

When we are giving the $n$ & $r$ values in decimals, it will automatically convert into Integers.
For e.g.
- COMBIN(5.4,2)=10 is equivalent to COMBIN(5,2)
- COMBIN(5,-2)=NAN, because $r$ is negative.

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 ==Description==
 *This function gives the combination of <math>n</math> objects.
-*i.e. An arrangement of <math>r</math> objects without any repetition, selected from <math>n</math> different objects is called a combination of <math>n</math> objects taken <math>r</math> at a time.
+*i.e An arrangement of <math>r</math> objects without any repetition, selected from <math>n</math> different objects is called a combination of <math>n</math> objects taken <math>r</math> at a time.
-*Also if the order is not a matter, it is a Combination.
+*If the order is not a matter, it is a Combination.
-*If order is a matter it is a Permutation.
+*If the order is a matter it is a Permutation.
 *A combination is denoted by nCr or <math>\binom{n}{r}</math>.
 *A formula for the number of possible combinations of <math>r</math> objects from a set of <math>n</math> objects is <math>\binom{n}{r}=\frac{n!}{r!(n-r)!}</math> where <math>n!=1*2*3*...*n </math> & <math>r \le n</math>.