{"status": "success", "data": {"description_md": "In a soccer league with 6 teams $(P, Q, R, S, T, W)$, each team must eventually play each other team exactly once. So far, $P$ has played one match, $Q$ has played 2 matches, $R$ has played 3 matches, $S$ has played 4 matches, and $T$ has played 5 matches. How many matches has $W$ played so far?\n\n$\\text{(A)}\\ 1\\qquad\\text{(B)}\\ 2\\qquad\\text{(C)}\\ 3\\qquad\\text{(D)}\\ 4\\qquad\\text{(E)}\\ 5$\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 a soccer league with 6 teams <span class=\"katex--inline\">(P, Q, R, S, T, W)</span>, each team must eventually play each other team exactly once. So far, <span class=\"katex--inline\">P</span> has played one match, <span class=\"katex--inline\">Q</span> has played 2 matches, <span class=\"katex--inline\">R</span> has played 3 matches, <span class=\"katex--inline\">S</span> has played 4 matches, and <span class=\"katex--inline\">T</span> has played 5 matches. How many matches has <span class=\"katex--inline\">W</span> played so far?</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 1\\qquad\\text{(B)}\\ 2\\qquad\\text{(C)}\\ 3\\qquad\\text{(D)}\\ 4\\qquad\\text{(E)}\\ 5</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": "2007 Cayley Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/07_cayley_p22", "prev": "/problem/07_cayley_p20"}}