{"status": "success", "data": {"description_md": "The number 2017 is prime.  Let $S = \\sum \\limits_{k=0}^{62} \\dbinom{2014}{k}$.  What is the remainder when $S$ is divided by 2017?\n\n$\\textbf{(A) }32\\qquad<br>\\textbf{(B) }684\\qquad<br>\\textbf{(C) }1024\\qquad<br>\\textbf{(D) }1576\\qquad<br>\\textbf{(E) }2016\\qquad$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The number 2017 is prime.  Let  <span class=\"katex--inline\">S = \\sum \\limits_{k=0}^{62} \\dbinom{2014}{k}</span> .  What is the remainder when  <span class=\"katex--inline\">S</span>  is divided by 2017?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }32\\qquad\\textbf{(B) }684\\qquad\\textbf{(C) }1024\\qquad\\textbf{(D) }1576\\qquad\\textbf{(E) }2016\\qquad</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "2014 AMC 12B Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc12B_p24", "prev": "/problem/14_amc12B_p22"}}