Difference between revisions of "Manuals/calci/COMBIN"
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| − | <div style="font-size:30px">'''COMBIN( | + | <div style="font-size:30px">'''COMBIN(N,R)'''</div><br/> |
*'N' is the number of items. | *'N' is the number of items. | ||
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==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. | + | *selected from N different objects is called a combination of N objects taken R at a time. |
| − | Also if the order doesn't a matter, it is a combination. | + | *Also if the order doesn't a matter, it is a combination. |
| − | If order is the matter it is a permutation. | + | *If order is the matter it is a permutation. |
| − | A combination is | + | *A combination is denoted by ncr or(n r). |
| − | 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. | + | *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 00:51, 18 November 2013
COMBIN(N,R)
- '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 doesn't a matter, it is a combination.
- If order is the matter it is a permutation.
- A combination is denoted by ncr or(n r).
- 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 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.
- 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 |