{"status": "success", "data": {"description_md": "**POTD April, 8, 2024**\n\nFind the number of subsets $\\mathcal{S}$ of $\\{1, 2, . . . 6\\}$ satisfying the following conditions:\n- $\\mathcal{S}$ is non-empty.\n- No subset of $\\mathcal{S}$ has the property that the sum of its elements is $10.$", "description_html": "<p><strong>POTD April, 8, 2024</strong></p>&#10;<p>Find the number of subsets <span class=\"katex--inline\">\\mathcal{S}</span> of <span class=\"katex--inline\">\\{1, 2, . . . 6\\}</span> satisfying the following conditions:</p>&#10;<ul>&#10;<li><span class=\"katex--inline\">\\mathcal{S}</span> is non-empty.</li>&#10;<li>No subset of <span class=\"katex--inline\">\\mathcal{S}</span> has the property that the sum of its elements is <span class=\"katex--inline\">10.</span></li>&#10;</ul>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #121", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}