Difference between revisions of "Documentation/How Tos/Calc: COMBIN function"

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{{DISPLAYTITLE:COMBIN function}}
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== COMBIN ==
 
== COMBIN ==
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=== Syntax: ===
 
=== Syntax: ===
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<tt>'''COMBIN(setsize; subsetsize)'''</tt>
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<tt>'''COMBIN(n; k)'''</tt>
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: <tt>'''setsize'''</tt> is the number of items in the set.
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: <tt>'''n'''</tt> is the number of items in the set.
  
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: <tt>'''subsetsize'''</tt> is the number of items to choose from the set.
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: <tt>'''k'''</tt> is the number of items to choose from the set.
  
 
: <tt>'''COMBIN'''</tt> returns the number of ways to choose these items. For example if there are 3 items A, B and C in a set, you can choose 2 items in 3 different ways, namely AB, AC and BC.
 
: <tt>'''COMBIN'''</tt> returns the number of ways to choose these items. For example if there are 3 items A, B and C in a set, you can choose 2 items in 3 different ways, namely AB, AC and BC.
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: <tt>'''COMBIN'''</tt> implements the formula:
 
: <tt>'''COMBIN'''</tt> implements the formula:
  
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:: <tt>'''setsize!/(subsetsize!*(setsize-subsetsize)!)'''</tt>
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:: <tt>'''<i>n</i>!/(<i>k</i>!(<i>n</i>-<i>k</i>)!)'''</tt>
  
 
=== Example: ===
 
=== Example: ===
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: returns <tt>'''3'''</tt>.
 
: returns <tt>'''3'''</tt>.
  
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=== See also: ===
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{{SeeAlso|EN|
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'''[[Documentation/How_Tos/Calc: COMBINA function|COMBINA]]''',
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* [[Documentation/How_Tos/Calc: COMBINA function|COMBINA]]
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'''[[Documentation/How_Tos/Calc: PERMUT function|PERMUT]]''',
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* [[Documentation/How_Tos/Calc: PERMUT function|PERMUT]]
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'''[[Documentation/How_Tos/Calc: PERMUTATIONA function|PERMUTATIONA]]'''
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* [[Documentation/How_Tos/Calc: PERMUTATIONA function|PERMUTATIONA]]
  
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'''[[Documentation/How_Tos/Calc: Mathematical functions|Mathematical functions]]'''
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* [[Documentation/How_Tos/Calc: Mathematical functions|Mathematical functions]]
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* [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]]
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* [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}}
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[[Category: Documentation/Reference/Calc/Mathematical functions]]

Latest revision as of 15:07, 31 January 2024

COMBIN

Returns the number of combinations of a subset of items.

Syntax:

COMBIN(n; k)

n is the number of items in the set.
k is the number of items to choose from the set.
COMBIN returns the number of ways to choose these items. For example if there are 3 items A, B and C in a set, you can choose 2 items in 3 different ways, namely AB, AC and BC.
COMBIN implements the formula:
n!/(k!(n-k)!)

Example:

COMBIN(3,2)

returns 3.


See Also
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