{"status": "success", "data": {"description_md": "A fancy bed and breakfast inn has $5$ rooms, each with a distinctive color-coded decor.  One day $5$ friends arrive to spend the night.  There are no other guests that night.  The friends can room in any combination they wish, but with no more than $2$ friends per room.  In how many ways can the innkeeper assign the guests to the rooms?\n\n$\\textbf{(A) }2100\\qquad<br>\\textbf{(B) }2220\\qquad<br>\\textbf{(C) }3000\\qquad<br>\\textbf{(D) }3120\\qquad<br>\\textbf{(E) }3125\\qquad$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>A fancy bed and breakfast inn has  <span class=\"katex--inline\">5</span>  rooms, each with a distinctive color-coded decor.  One day  <span class=\"katex--inline\">5</span>  friends arrive to spend the night.  There are no other guests that night.  The friends can room in any combination they wish, but with no more than  <span class=\"katex--inline\">2</span>  friends per room.  In how many ways can the innkeeper assign the guests to the rooms?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }2100\\qquad\\textbf{(B) }2220\\qquad\\textbf{(C) }3000\\qquad\\textbf{(D) }3120\\qquad\\textbf{(E) }3125\\qquad</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2014 AMC 12A Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc12A_p14", "prev": "/problem/14_amc12A_p12"}}