document.write( "Question 199872: This is the new girl calling for help again please \r
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document.write( "A specific brand of bike comes in two frames, for males or females. Each frame comes in a choice of three colors, red, white, and blue, and with a choice of three seats, soft, medium, and hard. \r
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document.write( "a) Use the counting principle to determine the number of different arrangements of bicycles that are possible.
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document.write( "b) Construct a tree diagram illustrating all the different arrangements of bicycles that are possible.
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document.write( "c) List the sample space. \r
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document.write( "Thank you T-Aun\r
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Algebra.Com's Answer #150239 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! a)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Number of Genders * Number of Colors * Number of Seat Choices = 2 * 3 * 3 = 6 * 3 = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So there are 18 different bike configurations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here's the tree diagram:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here are ALL of the possible configurations which form the sample space:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "{male, red, soft} \n" ); document.write( "{male, red, medium} \n" ); document.write( "{male, red, hard} \n" ); document.write( "{male, white, soft} \n" ); document.write( "{male, white, medium} \n" ); document.write( "{male, white, hard} \n" ); document.write( "{male, blue, soft} \n" ); document.write( "{male, blue, medium} \n" ); document.write( "{male, blue, hard}\r \n" ); document.write( "\n" ); document.write( "{female, red, soft} \n" ); document.write( "{female, red, medium} \n" ); document.write( "{female, red, hard} \n" ); document.write( "{female, white, soft} \n" ); document.write( "{female, white, medium} \n" ); document.write( "{female, white, hard} \n" ); document.write( "{female, blue, soft} \n" ); document.write( "{female, blue, medium} \n" ); document.write( "{female, blue, hard}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: an example point {female, red, soft} means that the bike has a female frame, is red, and has a soft seat. \n" ); document.write( " |