{"status": "success", "data": {"description_md": "In the expression $\\left(\\underline{\\qquad}\\times\\underline{\\qquad}\\right)+\\left(\\underline{\\qquad}\\times\\underline{\\qquad}\\right)$ each blank is to be filled in with one of the digits $1,2,3,$ or $4,$ with each digit being used once. How many different values can be obtained?\n\n$\\textbf{(A) }2 \\qquad\n\\textbf{(B) }3 \\qquad\n\\textbf{(C) }4 \\qquad\n\\textbf{(D) }6 \\qquad\n\\textbf{(E) }24 \\qquad$", "description_html": "<p>In the expression  <span class=\"katex--inline\">\\left(\\underline{\\qquad}\\times\\underline{\\qquad}\\right)+\\left(\\underline{\\qquad}\\times\\underline{\\qquad}\\right)</span>  each blank is to be filled in with one of the digits  <span class=\"katex--inline\">1,2,3,</span>  or  <span class=\"katex--inline\">4,</span>  with each digit being used once. How many different values can be obtained?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }2 \\qquad\n\\textbf{(B) }3 \\qquad\n\\textbf{(C) }4 \\qquad\n\\textbf{(D) }6 \\qquad\n\\textbf{(E) }24 \\qquad</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": 1, "problem_name": "2018 AMC 10B Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10B_p04", "prev": "/problem/18_amc10B_p02"}}