{"status": "success", "data": {"description_md": "The set $S = \\{1, 2, 3, \\ldots, 49, 50\\}$ contains the first 50 positive integers. After the multiples of 2 and the multiples of 3 are removed, how many integers remain in the set $S$?\n\n$\\text{(A)}\\ 8\\qquad\\text{(B)}\\ 9\\qquad\\text{(C)}\\ 16\\qquad\\text{(D)}\\ 17\\qquad\\text{(E)}\\ 18$\n\n___\n\n**[Pascal](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>The set <span class=\"katex--inline\">S = \\{1, 2, 3, \\ldots, 49, 50\\}</span> contains the first 50 positive integers. After the multiples of 2 and the multiples of 3 are removed, how many integers remain in the set <span class=\"katex--inline\">S</span>?</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 8\\qquad\\text{(B)}\\ 9\\qquad\\text{(C)}\\ 16\\qquad\\text{(D)}\\ 17\\qquad\\text{(E)}\\ 18</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Pascal</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": 1, "problem_name": "2011 Pascal Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/11_pascal_p17", "prev": "/problem/11_pascal_p15"}}