ing the gamma function.
For <span class="math inline">\(0 \leq y \leq x\)</span>, <span class="math display">\[ \mathrm{binomial\_coefficient\_log}(x,y) =
\log\Gamma(x+1) - \log\Gamma(y+1) - \log\Gamma(x-y+1). \]</span></p>
<!-- int; choose; (int x, int y); -->
<p></p>
<p><code>int</code> <strong><code>choose</code></strong><code>(int x, int y)</code><br>
Return the binomial coefficient of x and y. For non-negative integer
inputs, the binomial coefficient function is written as <span class="math inline">\(\