Difference between revisions of "Manuals/calci/COMBIN"

Revision as of 06:05, 18 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.
Also if the order is not a matter, it is a Combination.
If 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 Failed to parse (unknown function "\fact"): {\displaystyle \binom{n}{r}=\frac{\fact{n}}{\frac{r}\frac{n-r}}} (n r)=n!/r!(n-r)!, where n!=1*2*3*...*n& r<=n.
This function will give the result is Error when
1.The N&R are non numeric
2.The N&R<0 or N<R
When we are giving the N&R values in decimals ,it will convert in to 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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 *If 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 R objects from a set of N objects is <math>\binom{n}{r}=\frac{\fact{n}}{\frac{r}\frac{n-r}}(n  r)=n!/r!(n-r)!, where n!=1*2*3*...*n& r<=n.
+*A formula for the number of possible combinations of R objects from a set of N objects is <math>\binom{n}{r}=\frac{\fact{n}}{\frac{r}\frac{n-r}}</math>(n  r)=n!/r!(n-r)!, where n!=1*2*3*...*n& r<=n.
 *This function will give the result is Error when
 *1.The N&R are non numeric