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

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(See also:)
(Syntax:)
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=== Syntax: ===
 
=== Syntax: ===
<tt>'''COMBIN(setsize; subsetsize)'''</tt>
+
<tt>'''COMBIN(n; k)'''</tt>
: <tt>'''setsize'''</tt> is the number of items in the set.
+
: <tt>'''n'''</tt> is the number of items in the set.
  
: <tt>'''subsetsize'''</tt> is the number of items to choose from the set.
+
: <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:
  
:: <tt>'''setsize!/(subsetsize!*(setsize-subsetsize)!)'''</tt>
+
:: <tt>'''<i>n</i>!/(<i>k</i>!(<i>n</i>-<i>k</i>)!)'''</tt>
  
 
=== Example: ===
 
=== Example: ===

Revision as of 20:32, 8 April 2008


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:

COMBINA, PERMUT, PERMUTATIONA

Mathematical functions

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