{"status": "success", "data": {"description_md": "Each face of a regular tetrahedron is painted either red, white, or blue. Two colorings are considered indistinguishable if two congruent tetrahedra with those colorings can be rotated so that their appearances are identical. How many distinguishable colorings are possible?\n\n$\\mathrm {(A)} 15\\qquad \\mathrm {(B)} 18\\qquad \\mathrm {(C)} 27\\qquad \\mathrm {(D)} 54\\qquad \\mathrm {(E)} 81$\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>Each face of a regular tetrahedron is painted either red, white, or blue. Two colorings are considered indistinguishable if two congruent tetrahedra with those colorings can be rotated so that their appearances are identical. How many distinguishable colorings are possible?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm {(A)} 15\\qquad \\mathrm {(B)} 18\\qquad \\mathrm {(C)} 27\\qquad \\mathrm {(D)} 54\\qquad \\mathrm {(E)} 81</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": "2007 AMC 12B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc12B_p17", "prev": "/problem/07_amc12B_p15"}}