{"status": "success", "data": {"description_md": "An object in the plane moves from one lattice point to another. At each step, the object may move one unit to the right, one unit to the left, one unit up, or one unit down. If the object starts at the origin and takes a ten-step path, how many different points could be the final point?\n\n$\\mathrm{(A)}\\ 120<br>\\qquad<br>\\mathrm{(B)}\\ 121<br>\\qquad<br>\\mathrm{(C)}\\ 221<br>\\qquad<br>\\mathrm{(D)}\\ 230<br>\\qquad<br>\\mathrm{(E)}\\ 231$\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>An object in the plane moves from one lattice point to another. At each step, the object may move one unit to the right, one unit to the left, one unit up, or one unit down. If the object starts at the origin and takes a ten-step path, how many different points could be the final point?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 120\\qquad\\mathrm{(B)}\\ 121\\qquad\\mathrm{(C)}\\ 221\\qquad\\mathrm{(D)}\\ 230\\qquad\\mathrm{(E)}\\ 231</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": "2006 AMC 12B Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc12B_p19", "prev": "/problem/06_amc12B_p17"}}