document.write( "Question 1033276: there are 7 people at a round table with 5 seats. how many arrangements are possible? this is circular permutations of algebra 2.
\n" ); document.write( "Please help. i don't know how to solve it.
\n" ); document.write( "Thank you. \r
\n" ); document.write( "\n" ); document.write( "Tina \n" ); document.write( "

Algebra.Com's Answer #647835 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "there are 7 people at a round table with 5 seats. how many arrangements are possible? this is circular permutations of algebra 2.
\n" ); document.write( "Please help. i don't know how to solve it.
\n" ); document.write( "Thank you. \r
\n" ); document.write( "\n" ); document.write( "Tina
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Regarding people sitting at a round table, circular permutations differ from convectional permutations in this:\r\n" );
document.write( "\r\n" );
document.write( "   any two permutations/arrangement of the people around the table that are obtained one from the other by \"rotation\" \r\n" );
document.write( "   in the angle around the table are considered as equivalent or indistinguishable. \r\n" );
document.write( "\r\n" );
document.write( "If there are n people sitting around a table, then the number of \"rotations\" is n (rotations by the angle , , , . . . ).\r\n" );
document.write( "\r\n" );
document.write( "Therefore, the number of circular permutations of n objects is . =  = (n-1)!.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The number of circular permutations of n objects taken m at a time, is \r\n" );
document.write( "\r\n" );
document.write( ".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In your case the number of circular permutations is \r\n" );
document.write( "\r\n" );
document.write( " = 7*6*4*3 = 504.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Is it your school math assignment?\r\n" );
document.write( "\r\n" );
document.write( "If so, then it is for the first time I see such theme in the school math.\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );