document.write( "Question 1006233: How many different ways can 3 red, 4 yellow and 2 blue bulbs be arranged in a string of Christmas tree lights with 9 sockets? \n" ); document.write( "
Algebra.Com's Answer #622376 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "We have \"9 sockets choose 3\" for the 3 red lights. That's (9C3) ways.\r\n" );
document.write( "After screwing in those 3 red bulbs, there remain only 6 open sockets.\r\n" );
document.write( "\r\n" );
document.write( "We have \"6 sockets choose 4\" for the 4 yellow lights. That's (6C4) ways.\r\n" );
document.write( "After screwing in those 4 red bulbs, there remain only 2 open sockets.\r\n" );
document.write( "\r\n" );
document.write( "We have \"2 sockets choose 2\" for the blue lights. That's (2C2) = 1 way.\r\n" );
document.write( "After screwing in those 2 bulbs, all the sockets have a bulb in them.\r\n" );
document.write( "\r\n" );
document.write( "Answer (9C3)(6C4)(2C2) = 1260.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );