document.write( "Question 204904: 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
\n" ); document.write( "\n" ); document.write( "a) Use the counting principle to determine the number of different arrangements of bicycles that are possible.
\n" ); document.write( "b) Construct a tree diagram illustrating all the different arrangements of bicycles that are possible.
\n" ); document.write( "c) List the sample space. \r
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\n" ); document.write( "\n" ); document.write( "I have been working on this question for about 2 days now and I seriously do not know how to do a tree. Well I know how to make one I think but I don't know where to begin.. Please someone help if you have the time.. This is the last question on my assignment. Please help...
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Algebra.Com's Answer #154636 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
a)\r
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\n" ); document.write( "\n" ); document.write( "Number of Genders * Number of Colors * Number of Seat Choices = 2 * 3 * 3 = 6 * 3 = 18\r
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\n" ); document.write( "\n" ); document.write( "So there are 18 different bike configurations.\r
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\n" ); document.write( "\n" ); document.write( "b)\r
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\n" ); document.write( "\n" ); document.write( "Here's the tree:\r
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\n" ); document.write( "\n" ); document.write( "c)\r
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\n" ); document.write( "\n" ); document.write( "Here are ALL of the possible configurations which form the sample space:\r
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\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
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\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.\r
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\n" ); document.write( "\n" ); document.write( "If you count all of the possible configurations, you'll count out 18 possible configurations.
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