{"status": "success", "data": {"description_md": "Find the remainder when $$\\binom{\\binom{3}{2}}{2} + \\binom{\\binom{4}{2}}{2} + \\ldots + \\binom{\\binom{40}{2}}{2} $$is divided by $1000$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Find the remainder when <span class=\"katex--display\">\\binom{\\binom{3}{2}}{2} + \\binom{\\binom{4}{2}}{2} + \\ldots + \\binom{\\binom{40}{2}}{2}</span>is divided by <span class=\"katex--inline\">1000</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": 5, "problem_name": "2022 AIME II Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/22_aime_II_p11", "prev": "/problem/22_aime_II_p09"}}