document.write( "Question 1141445: In how many ways can 6 people be arranged in a round table if a certain 3 persons refuse to follow each other? \n" ); document.write( "
Algebra.Com's Answer #761987 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
In how many ways can 6 people be arranged in a round table if a certain 3\r\n" );
document.write( "persons refuse to follow each other? \r\n" );
document.write( "\r\n" );
document.write( "I assume that if 3 persons refuse to follow each other, that means that no two\r\n" );
document.write( "of the three can sit next to each other.  Then they can only be seated in this\r\n" );
document.write( "general way:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "           #\r\n" );
document.write( "       @       @  \r\n" );
document.write( "\r\n" );
document.write( "       #       #\r\n" );
document.write( "           @\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The three, no two of whom will sit together, can sit where the @'s are in 3!=6\r\n" );
document.write( "ways and the other three can sit where the #'s are in 3!=6 ways.\r\n" );
document.write( "\r\n" );
document.write( "Answer (3!)(3!) = (6)(6) = 36 ways\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );