{"status": "success", "data": {"description_md": "**POTD February 23, 2024**\n*Author's note: we let [awesomeming327](https://www.topsoj.com/users/awesomeming327/profile) cook.*\n\nTen people pick real numbers. The $n^{\\text{th}}$ person picks at random from the interval $[0, n]$. If the probability that the sequence of numbers picked by the $1^{\\text{st}}, 2^{\\text{nd}}, \\ldots, 10^{\\text{th}}$ person is strictly increasing can be denoted by $\\omega$. Compute $\\sqrt[9]{(10!)^2\\cdot\\omega}$.", "description_html": "<p><strong>POTD February 23, 2024</strong><br/>&#10;<em>Author&#8217;s note: we let <a href=\"https://www.topsoj.com/users/awesomeming327/profile\">awesomeming327</a> cook.</em></p>&#10;<p>Ten people pick real numbers. The <span class=\"katex--inline\">n^{\\text{th}}</span> person picks at random from the interval <span class=\"katex--inline\">[0, n]</span>. If the probability that the sequence of numbers picked by the <span class=\"katex--inline\">1^{\\text{st}}, 2^{\\text{nd}}, \\ldots, 10^{\\text{th}}</span> person is strictly increasing can be denoted by <span class=\"katex--inline\">\\omega</span>. Compute <span class=\"katex--inline\">\\sqrt[9]{(10!)^2\\cdot\\omega}</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 8, "problem_name": "Problem of the Day #77", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}