{"status": "success", "data": {"description_md": "In the diagram, a rectangular ceiling $PQRS$ measures 6 m by 4 m and is to be completely covered using 12 rectangular tiles, each measuring 1 m by 2 m. If there is a beam, $TU$, that is positioned so that $PT = SU = 2$ m and that cannot be crossed by any tile, then the number of possible arrangements of tiles is\n\n<center><img class=\"problem-image\" src=\"/static/cayley/2015/crops/15_cayley_p24_fig.png\" alt=\"figure\" width=\"249\"></center>\n\n$\\text{(A)}\\ 180\\qquad\\text{(B)}\\ 190\\qquad\\text{(C)}\\ 185\\qquad\\text{(D)}\\ 170\\qquad\\text{(E)}\\ 175$\n\n___\n\n**[Cayley](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>In the diagram, a rectangular ceiling <span class=\"katex--inline\">PQRS</span> measures 6 m by 4 m and is to be completely covered using 12 rectangular tiles, each measuring 1 m by 2 m. If there is a beam, <span class=\"katex--inline\">TU</span>, that is positioned so that <span class=\"katex--inline\">PT = SU = 2</span> m and that cannot be crossed by any tile, then the number of possible arrangements of tiles is</p>\n<center><img class=\"problem-image\" src=\"/static/cayley/2015/crops/15_cayley_p24_fig.png\" alt=\"figure\" width=\"249\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 180\\qquad\\text{(B)}\\ 190\\qquad\\text{(C)}\\ 185\\qquad\\text{(D)}\\ 170\\qquad\\text{(E)}\\ 175</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Cayley</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2015 Cayley Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/15_cayley_p25", "prev": "/problem/15_cayley_p23"}}