{"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":"c09e76b8-2701-52b8-b9b1-a8004ff353e8","task_key":"prealgebra--test--c09e76b8-2701-52b8-b9b1-a8004ff353e8","task_revision_id":"1","upstream_id":"","short_description":"In BINGO, a $5\\times5$ card is filled by marking the middle square as WILD and…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"In BINGO, a $5\\\\times5$ card is filled by marking the middle square as WILD and placing 24 other numbers in the remaining 24 squares.\\n\\n\\nSpecifically a card is made by placing 5 numbers from the set $1-15$ in the first column, 5 numbers from $16-30$ in the second column, 4 numbers $31-45$ in the third column (skipping the WILD square in the middle), 5 numbers from $46-60$ in the fourth column and 5 numbers from $61-75$ in the last column.\\n\\nOne possible BINGO card is:\\n\\n[asy]\\nfor (int i=0; i<6;++i) {\\ndraw((i,0)--(i,5));\\ndraw((0,i)--(5,i));\\n}\\nlabel(\\\"$1$\\\",(.5,0.5));\\nlabel(\\\"$2$\\\",(.5,1.5));\\nlabel(\\\"$3$\\\",(.5,2.5));\\nlabel(\\\"$4$\\\",(.5,3.5));\\nlabel(\\\"$5$\\\",(.5,4.5));\\n\\nlabel(\\\"$20$\\\",(1.5,0.5));\\nlabel(\\\"$19$\\\",(1.5,1.5));\\nlabel(\\\"$18$\\\",(1.5,2.5));\\nlabel(\\\"$17$\\\",(1.5,3.5));\\nlabel(\\\"$16$\\\",(1.5,4.5));\\n\\nlabel(\\\"$31$\\\",(2.5,0.5));\\nlabel(\\\"$32$\\\",(2.5,1.5));\\nlabel(\\\"Wild\\\",(2.5,2.5));\\nlabel(\\\"$34$\\\",(2.5,3.5));\\nlabel(\\\"$35$\\\",(2.5,4.5));\\n\\nlabel(\\\"$50$\\\",(3.5,0.5));\\nlabel(\\\"$49$\\\",(3.5,1.5));\\nlabel(\\\"$48$\\\",(3.5,2.5));\\nlabel(\\\"$47$\\\",(3.5,3.5));\\nlabel(\\\"$46$\\\",(3.5,4.5));\\n\\nlabel(\\\"$71$\\\",(4.5,0.5));\\nlabel(\\\"$72$\\\",(4.5,1.5));\\nlabel(\\\"$73$\\\",(4.5,2.5));\\nlabel(\\\"$74$\\\",(4.5,3.5));\\nlabel(\\\"$75$\\\",(4.5,4.5));\\n\\n[/asy]\\n\\nTo play BINGO, someone names numbers, chosen at random, and players mark those numbers on their cards.  A player wins when he marks 5 in a row, horizontally, vertically, or diagonally.\\n\\nHow many distinct possibilities are there for the values in the diagonal going from top left to bottom right of a BINGO card, in order?\",\"type\":\"Prealgebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}