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<p><a href="https://en.wikipedia.org/wiki/Combination">Combinations</a> n choose r function implementation
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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Include dependency graph for n_choose_r.cpp:</div>
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<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft">&#160;</td><td class="mdescRight">for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html" title="STL class.">std::vector</a> <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a6e2dff75c5de70455b90c799d6ad6967"><td class="memTemplParams" colspan="2">template&lt;class T &gt; </td></tr>
<tr class="memitem:a6e2dff75c5de70455b90c799d6ad6967"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a> (T n, T r)</td></tr>
<tr class="memdesc:a6e2dff75c5de70455b90c799d6ad6967"><td class="mdescLeft">&#160;</td><td class="mdescRight">This is the function implementation of \( \binom{n}{r} \). <a href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">More...</a><br /></td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memdesc:a0ddf1224851353fc92bfbff6f499fa97"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d1/dbb/n__choose__r_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Combination">Combinations</a> n choose r function implementation </p>
<p>A very basic and efficient method of calculating choosing r from n different choices. \( \binom{n}{r} = \frac{n!}{r! (n-r)!} \)</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/tjgurwara99">Tajmeet Singh</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a0ddf1224851353fc92bfbff6f499fa97">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>argc</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">char *&#160;</td>
<td class="paramname"><em>argv</em>[]&#160;</td>
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<p>Main function. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">argc</td><td>commandline argument count (ignored) </td></tr>
<tr><td class="paramname">argv</td><td>commandline array of arguments (ignored) </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; {</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <a class="code" href="../../d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// executing tests</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static void test </td>
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<p>Test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="comment">// First test on 5 choose 2</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; uint8_t t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(5, 2);</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;10 is the answer but function says otherwise.\n&quot;</span>, t == 10));</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;First test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="comment">// Second test on 5 choose 3</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(5, 3);</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; assert(</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; ((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;10 is the answer but the function says otherwise.\n&quot;</span>, t == 10));</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Second test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="comment">// Third test on 3 choose 2</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(3, 2);</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; assert(</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; ((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;3 is the answer but the function says otherwise.\n&quot;</span>, t == 3));</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Third test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="comment">// Fourth test on 10 choose 4</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(10, 4);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;210 is the answer but the function says otherwise.\n&quot;</span>,</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; t == 210));</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Fourth test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;}</div>
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