document.write( "Question 696544: How many ways can I arrange 10 red marbles, 5 white marbles, and 6 blue marbles in a row.
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document.write( "Please help. \n" );
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Algebra.Com's Answer #429113 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "You cannot tell the marbles of the same color apart, so we have\r\n" ); document.write( "21 positions\r\n" ); document.write( "\r\n" ); document.write( " o o o o o o o o o o o o o o o o o o o o o\r\n" ); document.write( " 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21\r\n" ); document.write( "\r\n" ); document.write( "That's 21 choose 10 positions to place the 10 red marbles in. That's C(21,10)\r\n" ); document.write( "That's leaves 11 choose 5 positions to place the white marbles in. That's\r\n" ); document.write( "C(11,5). That leaves 6 choose 6 positions to place the blue marbles in.\r\n" ); document.write( "\r\n" ); document.write( "Answer C(21,10)·C(11,5)·C(6,6) = 352716·462·1 = 162954792\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |