{"status": "success", "data": {"description_md": "In a certain card game, a player is dealt a hand of $10$ cards from a deck of $52$ distinct cards. The number of distinct (unordered) hands that can be dealt to the player can be written as $158A00A4AA0$. What is the digit $A$?\n\n$\\textbf{(A) } 2 \\qquad\\textbf{(B) } 3 \\qquad\\textbf{(C) } 4 \\qquad\\textbf{(D) } 6 \\qquad\\textbf{(E) } 7$", "description_html": "<p>In a certain card game, a player is dealt a hand of  <span class=\"katex--inline\">10</span>  cards from a deck of  <span class=\"katex--inline\">52</span>  distinct cards. The number of distinct (unordered) hands that can be dealt to the player can be written as  <span class=\"katex--inline\">158A00A4AA0</span> . What is the digit  <span class=\"katex--inline\">A</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 2 \\qquad\\textbf{(B) } 3 \\qquad\\textbf{(C) } 4 \\qquad\\textbf{(D) } 6 \\qquad\\textbf{(E) } 7</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": "2020 AMC 10B Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc10B_p20", "prev": "/problem/20_amc10B_p18"}}