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<title>GNU Scientific Library &ndash; Reference Manual: Combinations</title>

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<a name="Combinations"></a>
<div class="header">
<p>
Next: <a href="Multisets.html#Multisets" accesskey="n" rel="next">Multisets</a>, Previous: <a href="Permutations.html#Permutations" accesskey="p" rel="previous">Permutations</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<hr>
<a name="Combinations-1"></a>
<h2 class="chapter">10 Combinations</h2>
<a name="index-combinations"></a>

<p>This chapter describes functions for creating and manipulating
combinations. A combination <em>c</em> is represented by an array of
<em>k</em> integers in the range 0 to <em>n-1</em>, where each value
<em>c_i</em> occurs at most once.  The combination <em>c</em> corresponds to
indices of <em>k</em> elements chosen from an <em>n</em> element vector.
Combinations are useful for iterating over all <em>k</em>-element subsets
of a set.
</p>
<p>The functions described in this chapter are defined in the header file
<samp>gsl_combination.h</samp>.
</p>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top">&bull; <a href="The-Combination-struct.html#The-Combination-struct" accesskey="1">The Combination struct</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Combination-allocation.html#Combination-allocation" accesskey="2">Combination allocation</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Accessing-combination-elements.html#Accessing-combination-elements" accesskey="3">Accessing combination elements</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Combination-properties.html#Combination-properties" accesskey="4">Combination properties</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Combination-functions.html#Combination-functions" accesskey="5">Combination functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Reading-and-writing-combinations.html#Reading-and-writing-combinations" accesskey="6">Reading and writing combinations</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Combination-Examples.html#Combination-Examples" accesskey="7">Combination Examples</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Combination-References-and-Further-Reading.html#Combination-References-and-Further-Reading" accesskey="8">Combination References and Further Reading</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
</table>




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