{"status": "success", "data": {"description_md": "**POTD August 18, 2024**\n\nHow many ordered pairs $(\\mathcal{S}, \\mathcal{T})$ of subsets of $\\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\\}$ are there whose union contains exactly three elements?", "description_html": "<p><strong>POTD August 18, 2024</strong></p>&#10;<p>How many ordered pairs <span class=\"katex--inline\">(\\mathcal{S}, \\mathcal{T})</span> of subsets of <span class=\"katex--inline\">\\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\\}</span> are there whose union contains exactly three elements?</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #249", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}