{"status": "success", "data": {"description_md": "In the addition shown below $A, B, C,$ and $D$ are distinct digits. How many different values are possible for $D$?\n\n\n$$\n\\begin{aligned}\n&ABBCB\\\\\n+& \\underline{BCADA}\\\\\n&DBDDD\n\\end{aligned}\n$$\n\n\n\n\n\n$\\textbf{(A) }2\\qquad\\textbf{(B) }4\\qquad\\textbf{(C) }7\\qquad\\textbf{(D) }8\\qquad\\textbf{(E) }9$", "description_html": "<p>In the addition shown below <span class=\"katex--inline\">A, B, C,</span> and <span class=\"katex--inline\">D</span> are distinct digits. How many different values are possible for <span class=\"katex--inline\">D</span>?</p>&#10;<p><span class=\"katex--display\">&#10;\\begin{aligned}&#10;&amp;ABBCB\\\\&#10;+&amp; \\underline{BCADA}\\\\&#10;&amp;DBDDD&#10;\\end{aligned}&#10;</span></p>&#10;<p><span class=\"katex--inline\">\\textbf{(A) }2\\qquad\\textbf{(B) }4\\qquad\\textbf{(C) }7\\qquad\\textbf{(D) }8\\qquad\\textbf{(E) }9</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2014 AMC 10B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10B_p11", "prev": "/problem/14_amc10B_p09"}}