document.write( "Question 770659: I have 64 people and need to make groups of 8 that will rotate 3 times and not be with the same person more than once.\r
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document.write( "Thank you.\r
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document.write( "Karen \n" );
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Algebra.Com's Answer #469666 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Make an 8x8 grid of numbers 1-64, each number representing\r\n" ); document.write( "one of the 64 people.\r\n" ); document.write( "\r\n" ); document.write( "I'll connect the 8 members in each group with lines.\r\n" ); document.write( "\r\n" ); document.write( "The first 8 groups will consist of the 8 rows:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 1---2---3---4---5---6---7---8\r\n" ); document.write( "\r\n" ); document.write( " 9--10--11--12--13--14--15--16\r\n" ); document.write( "\r\n" ); document.write( "17--18--19--20--21--22--23--24 \r\n" ); document.write( "\r\n" ); document.write( "25--26--27--28--29--30--31--32\r\n" ); document.write( "\r\n" ); document.write( "33--34--35--36--37--38--39--40 \r\n" ); document.write( "\r\n" ); document.write( "41--42--43--44--45--46--47--48\r\n" ); document.write( "\r\n" ); document.write( "49--50--51--52--53--54--55--56\r\n" ); document.write( "\r\n" ); document.write( "57--58--59--60--61--62--63--64\r\n" ); document.write( "\r\n" ); document.write( "The second 8 groups will consist of the 8 columns:\r\n" ); document.write( "\r\n" ); document.write( " 1 2 3 4 5 6 7 8\r\n" ); document.write( " | | | | | | | |\r\n" ); document.write( " 9 10 11 12 13 14 15 16\r\n" ); document.write( " | | | | | | | |\r\n" ); document.write( "17 18 19 20 21 22 23 24 \r\n" ); document.write( " | | | | | | | |\r\n" ); document.write( "25 26 27 28 29 30 31 32\r\n" ); document.write( " | | | | | | | |\r\n" ); document.write( "33 34 35 36 37 38 39 40 \r\n" ); document.write( " | | | | | | | |\r\n" ); document.write( "41 42 43 44 45 46 47 48\r\n" ); document.write( " | | | | | | | |\r\n" ); document.write( "49 50 51 52 53 54 55 56\r\n" ); document.write( " | | | | | | | |\r\n" ); document.write( "57 58 59 60 61 62 63 64\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To make the third 8 groups, make the grid again on the\r\n" ); document.write( "right as below. Then take the 8 diagonals as the 8 groups.\r\n" ); document.write( "\r\n" ); document.write( " 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8\r\n" ); document.write( " \ \ \ \ \ \ \ \ \r\n" ); document.write( " 9 10 11 12 13 14 15 16 9 10 11 12 13 14 15 16\r\n" ); document.write( " \ \ \ \ \ \ \ \\r\n" ); document.write( "17 18 19 20 21 22 23 24 17 18 19 20 21 22 23 24 \r\n" ); document.write( " \ \ \ \ \ \ \ \\r\n" ); document.write( "25 26 27 28 29 30 31 32 25 26 27 28 29 30 31 32\r\n" ); document.write( " \ \ \ \ \ \ \ \\r\n" ); document.write( "33 34 35 36 37 38 39 40 33 34 35 36 37 38 39 40 \r\n" ); document.write( " \ \ \ \ \ \ \ \\r\n" ); document.write( "41 42 43 44 45 46 47 48 41 42 43 44 45 46 47 48\r\n" ); document.write( " \ \ \ \ \ \ \ \\r\n" ); document.write( "49 50 51 52 53 54 55 56 49 50 51 52 53 54 55 56\r\n" ); document.write( " \ \ \ \ \ \ \ \\r\n" ); document.write( "57 58 59 60 61 62 63 64 57 58 59 60 61 62 63 64 \r\n" ); document.write( "\r\n" ); document.write( "Then nobody will be in a group with anybody else more than once.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |