{"status": "success", "data": {"description_md": "How many permutations of the word $TOPSOJ$ do not contain the words $``TOPS\"$ or $``OJ\"$ in them? For example, $TOPSJO$ and $TOJPOS$ are invalid, while $TOSPJO$ is valid.\n\n$\\textbf{(A)}~216 \\qquad \\textbf{(B)}~ 234 \\qquad \\textbf{(C)}~236 \\qquad \\textbf{(D)}~ 594\\qquad \\textbf{(E)}~ 596$", "description_html": "<p>How many permutations of the word <span class=\"katex--inline\">TOPSOJ</span> do not contain the words <span class=\"katex--inline\">``TOPS&#34;</span> or <span class=\"katex--inline\">``OJ&#34;</span> in them? For example, <span class=\"katex--inline\">TOPSJO</span> and <span class=\"katex--inline\">TOJPOS</span> are invalid, while <span class=\"katex--inline\">TOSPJO</span> is valid.</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}~216 \\qquad \\textbf{(B)}~ 234 \\qquad \\textbf{(C)}~236 \\qquad \\textbf{(D)}~ 594\\qquad \\textbf{(E)}~ 596</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2024 Mock AMC 12 - Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/2024_mock_amc12-p11", "prev": "/problem/2024_mock_amc12-p09"}}