document.write( "Question 1037613: Max is painting 3 wooden toys ( wooden airplane, car,
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document.write( "and train). He can choose red, yellow or green. Each
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document.write( "toy must be painted with a different paint. How many
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document.write( "different ways can Max paint?
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document.write( "Answer : 6
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document.write( "Please show me how to get this answer? Thank you!
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Algebra.Com's Answer #652233 by Edwin McCravy(20063) You can put this solution on YOUR website! He's wrong! It's 6, not 9.\r\n" ); document.write( " \n" ); document.write( "Max is painting 3 wooden toys ( wooden airplane, car, \n" ); document.write( "and train). He can choose red, yellow or green. Each \n" ); document.write( "toy must be painted with a different paint. How many \n" ); document.write( "different ways can Max paint the cars? \n" ); document.write( " \r\n" ); document.write( "He can choose the color to paint the airplane in 3 ways.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 3 ways he can choose a color to paint\r\n" ); document.write( "the airplane, there remain 2 ways he can choose a color\r\n" ); document.write( "to paint the car. \r\n" ); document.write( "\r\n" ); document.write( "That's 3*2 or 6 ways to paint the airplane and\r\n" ); document.write( "the car.\r\n" ); document.write( "\r\n" ); document.write( "For each of the 3*2 or 6 ways to paint the airplane and\r\n" ); document.write( "the car, there remains only 1 color he can choose to\r\n" ); document.write( "paint the train.\r\n" ); document.write( "\r\n" ); document.write( "So that's 3*2*1 or 6*1 = 6 ways to paint all three toys.\r\n" ); document.write( "\r\n" ); document.write( "-------------------\r\n" ); document.write( "\r\n" ); document.write( "As a check:\r\n" ); document.write( "\r\n" ); document.write( "1. Paint the airplane red, the car yellow, the train green.\r\n" ); document.write( "2. Paint the airplane red, the car green, the train yellow.\r\n" ); document.write( "3. Paint the airplane yellow, the car red, the train green.\r\n" ); document.write( "4. Paint the airplane yellow, the car green, the train red.\r\n" ); document.write( "5. Paint the airplane green, the car red, the train yellow.\r\n" ); document.write( "6. Paint the airplane green, the car yellow, the train red.\r\n" ); document.write( "\r\n" ); document.write( "That's all the possible ways, and there are 6 of them, so\r\n" ); document.write( "the answer 6 is correct.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |