{"status": "success", "data": {"description_md": "A student council must select a two-person welcoming committee and a three-person planning committee from among its members. There are exactly $10$ ways to select a two-person team for the welcoming committee. It is possible for students to serve on both committees. In how many different ways can a three-person planning committee be selected?\n\n$\\textbf{(A)}\\ 10\\qquad\\textbf{(B)}\\ 12\\qquad\\textbf{(C)}\\ 15\\qquad\\textbf{(D)}\\ 18\\qquad\\textbf{(E)}\\ 25$", "description_html": "<p>A student council must select a two-person welcoming committee and a three-person planning committee from among its members. There are exactly <span class=\"katex--inline\">10</span> ways to select a two-person team for the welcoming committee. It is possible for students to serve on both committees. In how many different ways can a three-person planning committee be selected?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\ 10\\qquad\\textbf{(B)}\\ 12\\qquad\\textbf{(C)}\\ 15\\qquad\\textbf{(D)}\\ 18\\qquad\\textbf{(E)}\\ 25</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2013 AMC 10A Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc10A_p12", "prev": "/problem/13_amc10A_p10"}}