Manuals/calci/COMBIN

COMBIN(N,R)

Description

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 (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\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.