<p>My D was faced with this choice last year. She is interested in humanities/social sciences. She chose BC Calculus. The reasons:</p>
<ol>
<li><p>Statistics is probably more important than Calculus for humanities and social sciences, which means that she will no doubt take statistics in college, possibly fulfilling some prerequisites in the process. </p></li>
<li><p>Stats is usually taught better in College than AP Stats is taught in high school.</p></li>
<li><p>She is highly unlikely to voluntarily take (or need) Calculus in college. So, in the interest of getting an all-round education, why not take it in high school?</p></li>
<li><p>In her school at least, BC Calc is the harder class, and generally when applying to colleges, it helps to be seen as taking the ‘most rigorous’ curriculum in senior year. </p></li>
</ol>
<p>As an aside, I am very surprised to see that such a strong student is taking no foreign language in either Junior or Senior year. Perhaps UT doesn’t care, but if your D applies to the more selective private universities, that is more likely to catch the attention of the admissions people than whether she took BC Calc or AP Stat.</p>