{"status": "success", "data": {"description_md": "How many different integers can be expressed as the sum of three distinct members of the set $\\{1,4,7,10,13,16,19\\}$?\n\n$\\mathrm{(A)}\\ 13<br>\\qquad\\mathrm{(B)}\\ 16<br>\\qquad\\mathrm{(C)}\\ 24<br>\\qquad\\mathrm{(D)}\\ 30<br>\\qquad\\mathrm{(E)}\\ 35$\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 different integers can be expressed as the sum of three distinct members of the set  <span class=\"katex--inline\">\\{1,4,7,10,13,16,19\\}</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 13\\qquad\\mathrm{(B)}\\ 16\\qquad\\mathrm{(C)}\\ 24\\qquad\\mathrm{(D)}\\ 30\\qquad\\mathrm{(E)}\\ 35</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": "2002 AMC 12B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12B_p11", "prev": "/problem/02_amc12B_p09"}}