{"status": "success", "data": {"description_md": "A child builds towers using identically shaped cubes of different colors. How many different towers with a height $8$ cubes can the child build with $2$ red cubes, $3$ blue cubes, and $4$ green cubes? (One cube will be left out.)\n\n$\\textbf{(A) } 24 \\qquad\\textbf{(B) } 288 \\qquad\\textbf{(C) } 312 \\qquad\\textbf{(D) } 1,260 \\qquad\\textbf{(E) } 40,320$", "description_html": "<p>A child builds towers using identically shaped cubes of different colors. How many different towers with a height  <span class=\"katex--inline\">8</span>  cubes can the child build with  <span class=\"katex--inline\">2</span>  red cubes,  <span class=\"katex--inline\">3</span>  blue cubes, and  <span class=\"katex--inline\">4</span>  green cubes? (One cube will be left out.)</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 24 \\qquad\\textbf{(B) } 288 \\qquad\\textbf{(C) } 312 \\qquad\\textbf{(D) } 1,260 \\qquad\\textbf{(E) } 40,320</span> </p>\n<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": "2019 AMC 10A Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc10A_p18", "prev": "/problem/19_amc10A_p16"}}