{"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":"55f5633f-098c-5c67-a40c-d40384fd6d0e","task_key":"counting~5fand~5fprobability--test--55f5633f-098c-5c67-a40c-d40384fd6d0e","task_revision_id":"1","upstream_id":"","short_description":"A fair eight-faced die with faces numbered 1, 2, 3, 4, 5, 6, 7 and 8 is tossed…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"A fair eight-faced die with faces numbered 1, 2, 3, 4, 5, 6, 7 and 8 is tossed six times and the sequence of numbers is recorded. How many sequences are possible?\\n\\n[asy]\\ndraw((0,0)--(10,10)--(-2,8)--cycle);\\ndraw((-2,8)--(0,0)--(-11,10)--cycle);\\ndraw((-2,8)--(0,23)--(10,10));\\ndraw((0,23)--(-11,10));\\ndraw((0,23)--(2.5,13)--(10,10),dashed);\\ndraw((2.5,13)--(-11,10),dashed);\\ndraw((2.5,13)--(0,0),dashed);\\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":[]}