COMBIN(N,R)
- is the number of items.
- is the number of items in each arrangement.
is the number of items.
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 .
- 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.
- 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.
Examples
| COMBIN(n,r) | n | r | RESULT |
|---|---|---|---|
| COMBIN(12,3) | 12 | 3 | 220 |
| COMBIN(4,4) | 4 | 4 | 1 |
| COMBIN(4,0) | 4 | 0 | 1 |