document.write( "Question 412203: I cannot seem to wrap my head around this one...\r
\n" ); document.write( "\n" ); document.write( "compute total number of ways in which 3 differently colored bottles could be arranged in a line out of a total of 9 bottles? \n" ); document.write( "
Algebra.Com's Answer #289577 by Edwin McCravy(20062)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We have 9 things and we must position 3 of them.\r\n" );
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document.write( "That's \"9 Position 3\"\r\n" );
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document.write( "9P3 = 9*8*7 = 504\r\n" );
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document.write( "Or you can look at it this way:\r\n" );
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document.write( "There are 9 ways to choose the bottle to go on the far left.\r\n" );
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document.write( "For each of those 9 ways of placing a bottle on the far left, there are\r\n" );
document.write( "8 ways to choose a bottle to go in the middle. That's 9*8 or 72.\r\n" );
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document.write( "For each of those 9*8 or 72 ways of placing the first two bottles\r\n" );
document.write( "on the far left and in the middle, there are 7 ways to choose a bottle \r\n" );
document.write( "to go on the far right. That's 9*8*7 or 504.\r\n" );
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document.write( "Edwin
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