{"status": "success", "data": {"description_md": "At a twins and triplets convention, there were $9$ sets of twins and $6$ sets of triplets, all from different families. Each twin shook hands with all the twins except his/her siblings and with half the triplets. Each triplet shook hands with all the triplets except his/her siblings and with half the twins. How many handshakes took place?\n\n$\\textbf{(A)}\\ 324 \\qquad<br>\\textbf{(B)}\\ 441 \\qquad<br>\\textbf{(C)}\\ 630 \\qquad<br>\\textbf{(D)}\\ 648 \\qquad<br>\\textbf{(E)}\\ 882$\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>At a twins and triplets convention, there were  <span class=\"katex--inline\">9</span>  sets of twins and  <span class=\"katex--inline\">6</span>  sets of triplets, all from different families. Each twin shook hands with all the twins except his/her siblings and with half the triplets. Each triplet shook hands with all the triplets except his/her siblings and with half the twins. How many handshakes took place?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 324 \\qquad\\textbf{(B)}\\ 441 \\qquad\\textbf{(C)}\\ 630 \\qquad\\textbf{(D)}\\ 648 \\qquad\\textbf{(E)}\\ 882</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": "2011 AMC 12A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc12A_p10", "prev": "/problem/11_amc12A_p08"}}