{"status": "success", "data": {"description_md": "A box contains $28$ red balls, $20$ green balls, $19$ yellow balls, $13$ blue balls, $11$ white balls, and $9$ black balls. What is the minimum number of balls that must be drawn from the box without replacement to guarantee that at least $15$ balls of a single color will be drawn?\n\n$\\textbf{(A) } 75 \\qquad\\textbf{(B) } 76 \\qquad\\textbf{(C) } 79 \\qquad\\textbf{(D) } 84 \\qquad\\textbf{(E) } 91$\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>A box contains  <span class=\"katex--inline\">28</span>  red balls,  <span class=\"katex--inline\">20</span>  green balls,  <span class=\"katex--inline\">19</span>  yellow balls,  <span class=\"katex--inline\">13</span>  blue balls,  <span class=\"katex--inline\">11</span>  white balls, and  <span class=\"katex--inline\">9</span>  black balls. What is the minimum number of balls that must be drawn from the box without replacement to guarantee that at least  <span class=\"katex--inline\">15</span>  balls of a single color will be drawn?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 75 \\qquad\\textbf{(B) } 76 \\qquad\\textbf{(C) } 79 \\qquad\\textbf{(D) } 84 \\qquad\\textbf{(E) } 91</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": "2019 AMC 12A Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc12A_p04", "prev": "/problem/19_amc12A_p02"}}