{"status": "success", "data": {"description_md": "How many ways can a student schedule $3$ mathematics courses -- algebra, geometry, and number theory -- in a $6$-period day if no two mathematics courses can be taken in consecutive periods? (What courses the student takes during the other $3$ periods is of no concern here.)\n\n$\\textbf{(A) }3\\qquad\\textbf{(B) }6\\qquad\\textbf{(C) }12\\qquad\\textbf{(D) }18\\qquad\\textbf{(E) }24$\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>How many ways can a student schedule  <span class=\"katex--inline\">3</span>  mathematics courses &#8211; algebra, geometry, and number theory &#8211; in a  <span class=\"katex--inline\">6</span> -period day if no two mathematics courses can be taken in consecutive periods? (What courses the student takes during the other  <span class=\"katex--inline\">3</span>  periods is of no concern here.)</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }3\\qquad\\textbf{(B) }6\\qquad\\textbf{(C) }12\\qquad\\textbf{(D) }18\\qquad\\textbf{(E) }24</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": 2, "problem_name": "2018 AMC 12A Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc12A_p04", "prev": "/problem/18_amc12A_p02"}}