Difference between revisions of "Manuals/calci/COMBIN"

Revision as of 06:13, 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 ${\binom {n}{r}}={\frac {n!}{r!(n-r)!}}$ where $n!=1*2*3*...*n$ & $r\leq n$ .
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.

@@ Line 10: / Line 10: @@
 *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{n!}{r!(n-r)!}</math> where <math>n!=1*2*3*...*n </math>& <math>r \le n</math>.
+*A formula for the number of possible combinations of R objects from a set of N 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>.
 *This function will give Error Result when
 **The N&R are non numeric