{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"12456fa8-77f1-5b2f-b270-2d5391c0c384","task_key":"counting~5fand~5fprobability--test--12456fa8-77f1-5b2f-b270-2d5391c0c384","task_revision_id":"1","upstream_id":"","short_description":"Given 5 colors to choose from, how many ways can we color the four unit squares…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Given 5 colors to choose from, how many ways can we color the four unit squares of a $2\\\\times 2$ board, given that two colorings are considered the same if one is a rotation of the other? (Note that we can use the same color for more than one square.)\\n[asy]\\ndraw(unitsquare);\\ndraw((.5,0)--(.5,1));\\ndraw((0,.5)--(1,.5));\\n[/asy]\",\"type\":\"Counting & Probability\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}