{"status": "success", "data": {"description_md": "Mohammed has eight boxes numbered 1 to 8 and eight balls numbered 1 to 8. In how many ways can he put the balls in the boxes so that there is one ball in each box, ball 1 is not in box 1, ball 2 is not in box 2, and ball 3 is not in box 3?\n\n$\\text{(A)}\\ 27\\,240\\qquad\\text{(B)}\\ 29\\,160\\qquad\\text{(C)}\\ 27\\,360\\qquad\\text{(D)}\\ 27\\,600\\qquad\\text{(E)}\\ 25\\,200$\n\n___\n\n**[Fermat](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>Mohammed has eight boxes numbered 1 to 8 and eight balls numbered 1 to 8. In how many ways can he put the balls in the boxes so that there is one ball in each box, ball 1 is not in box 1, ball 2 is not in box 2, and ball 3 is not in box 3?</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 27\\,240\\qquad\\text{(B)}\\ 29\\,160\\qquad\\text{(C)}\\ 27\\,360\\qquad\\text{(D)}\\ 27\\,600\\qquad\\text{(E)}\\ 25\\,200</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Fermat</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": "2014 Fermat Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/14_fermat_p25", "prev": "/problem/14_fermat_p23"}}