{"status": "success", "data": {"description_md": "$N$ students take the OIME, which has $10$ questions, each of which a student can either get right or wrong. If no two students answered the exact same set of questions correctly, and in every group of $5$ students at least one of them answered each question correctly, what is the maximum value of $N$?", "description_html": "<p><span class=\"katex--inline\">N</span> students take the OIME, which has <span class=\"katex--inline\">10</span> questions, each of which a student can either get right or wrong. If no two students answered the exact same set of questions correctly, and in every group of <span class=\"katex--inline\">5</span> students at least one of them answered each question correctly, what is the maximum value of <span class=\"katex--inline\">N</span>?</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 7, "problem_name": "TxO Math Bowl 2024 - Team Contest - Problem 28", "can_next": true, "can_prev": true, "nxt": "/problem/txo2024team-p29", "prev": "/problem/txo2024team-p27"}}