document.write( "Question 708104: There are 2 boys and 5 girls at a party. In how many ways can they sit at a round table, if the boys must not sit next to each other? \n" ); document.write( "
Algebra.Com's Answer #435977 by Edwin Parker(36)\"\" \"About 
You can put this solution on YOUR website!
There are 2 boys and 5 girls at a party. In how many ways can they sit at a round table, if the boys must not sit next to each other?
\n" ); document.write( "
\r\n" );
document.write( "Let boy #1 sit down first. Since the table is round we consider it the\r\n" );
document.write( "same arrangement no matter where he sits.\r\n" );
document.write( "\r\n" );
document.write( "Let boy #2 sit down next.  Of the 6 remaining chairs, there are only 4\r\n" );
document.write( "chairs that boy #2 can sit in that are not next to boy #1.\r\n" );
document.write( "\r\n" );
document.write( "That's 4 ways we can seat the boys.\r\n" );
document.write( "\r\n" );
document.write( "The 5 girls can then be seated in the 5 remaining chairs\r\n" );
document.write( "in 5! ways.\r\n" );
document.write( "\r\n" );
document.write( "Answer 4·5! = 4·120 = 480 ways.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );