Difference between revisions of "Manuals/calci/COMBIN"

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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 dnoted by ncr or(n  r).  
+
A combination is dnoted 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
 
2. The N&R<0 or N<R
 
2. The N&R<0 or N<R
*When we are giving the N&R values in decimals ,it will convert in to Integers.
+
When we are giving the N&R values in decimals ,it will convert in to Integers.
  
*CHIDIST(-2,1)=Error,because x is negative.
+
*COMBIN(5.4,2)=10 is equivalent to COMBIN(5,2)
*CHIDIST(2,-1)=Error, because df<1
+
*COMBIN(5,-2)=NAN, because R is negative.
  
 
==Examples==
 
==Examples==

Revision as of 06:43, 12 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 dnoted 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

CHIDIST(x,df) x df RESULT
CHIDIST(18,2) 18 2 0.0001234098
CHIDIST(15,1) 15 1 0.0001075112
CHIDIST(2,1) 2 1 0.157299207050
CHIDIST(-2,1) (-)2 1 error
CHIDIST(2,-1) 2 (-)1 error

See Also

References

Complex Numbers