Difference between revisions of "Manuals/calci/COMBIN"
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<div style="font-size:30px">'''COMBIN(N,R)'''</div><br/> | <div style="font-size:30px">'''COMBIN(N,R)'''</div><br/> | ||
| − | * | + | *<math>N</math> is the number of items. |
| − | * | + | *<math>R</math> is the number of items in each arrangement. |
==Description== | ==Description== | ||
*This function gives the combination of N objects. | *This function gives the combination of N objects. | ||
| − | *i.e.An arrangement of R objects without any repetition, | + | *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. | |
| − | *Also if the order | + | *If order is a matter it is a Permutation. |
| − | *If order is | + | *A combination is denoted by nCr or <math>\binom{n}{r}</math>. |
| − | *A combination is denoted by | + | *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 (n r)=n!/r!(n-r)!, where n!=1*2*3*...*n& r<=n. | ||
*This function will give the result is Error when | *This function will give the result is Error when | ||
*1.The N&R are non numeric | *1.The N&R are non numeric | ||
Revision as of 06:05, 18 November 2013
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 |