Manuals/calci/COMBIN

COMBIN(N,R)

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 N} is the number of items.
$R$ is the number of items in each arrangement.

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 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}} .
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{n!}{r!(n-r)!}} where 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 n!=1*2*3*...*n } & $r\leq n$ .
This function will give Error Result when
- The N&R are non numeric
- The N&R < 0 or N < R
When we are giving the N&R values in decimals, it will automatically 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.