{"status": "success", "data": {"description_md": "**POTD June 9, 2024**\n\nLet $\\mathcal{S} = \\{1, 2, 3, 4\\}$. Find the total number of unordered pairs of disjoint subsets of $\\mathcal{S}$. Sets $\\mathcal{A}$ and $\\mathcal{B}$ are said to be disjoint if $\\mathcal{A}\\cap\\mathcal{B} = \\phi$.", "description_html": "<p><strong>POTD June 9, 2024</strong></p>&#10;<p>Let <span class=\"katex--inline\">\\mathcal{S} = \\{1, 2, 3, 4\\}</span>. Find the total number of unordered pairs of disjoint subsets of <span class=\"katex--inline\">\\mathcal{S}</span>. Sets <span class=\"katex--inline\">\\mathcal{A}</span> and <span class=\"katex--inline\">\\mathcal{B}</span> are said to be disjoint if <span class=\"katex--inline\">\\mathcal{A}\\cap\\mathcal{B} = \\phi</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #182", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}