{"status": "success", "data": {"description_md": "Adam, Benin, Chiang, Deshawn, Esther, and Fiona have internet accounts.  Some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group.  Each of them has the same number of internet friends.  In how many different ways can this happen?\n\n$\\textbf{(A)}\\ 60<br>\\qquad\\textbf{(B)}\\ 170<br>\\qquad\\textbf{(C)}\\ 290<br>\\qquad\\textbf{(D)}\\ 320<br>\\qquad\\textbf{(E)}\\ 660$\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>Adam, Benin, Chiang, Deshawn, Esther, and Fiona have internet accounts.  Some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group.  Each of them has the same number of internet friends.  In how many different ways can this happen?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 60\\qquad\\textbf{(B)}\\ 170\\qquad\\textbf{(C)}\\ 290\\qquad\\textbf{(D)}\\ 320\\qquad\\textbf{(E)}\\ 660</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": 3, "problem_name": "2012 AMC 12A Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc12A_p20", "prev": "/problem/12_amc12A_p18"}}