{"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$$\\begin{array}{lr}&ABBCB\\\\ +& BCADA\\\\ \\hline & DBDDD\\end{array}$$\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> ?<br/>\n <span class=\"katex--display\">\\begin{array}{lr}&amp;ABBCB\\\\ +&amp; BCADA\\\\ \\hline &amp; DBDDD\\end{array}</span> </p>\n<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>\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": "2014 AMC 10B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10B_p11", "prev": "/problem/14_amc10B_p09"}}