Question 211954: Need help with this question I'm stuck
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. I can't figure out how to draw the three. have the answer to A. but not to B and C. kinda got lost.
A) Use the counting principle to determine the number of different arrangements of bicycles that are possible.
B) Construct a tree diagram illustrating all the different arrangements of bicycles that are possible.
C) List the sample space.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! for each bicycle you have a choice 2 frames, 3 colors, 3 seats.
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total possible combinations are 2 * 3 * 3 = 18
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each combination will be composed of one type of frame, one color, and one type of seat.
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a tree diagram would start with the bicycle. the bicycle would then branch to 2 types of frames (one branch for each frame). each frame would then branch to 3 colors (one branch for each color). each color would then branch to 3 types of seats (one branch for each type of seat.
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you can see a picture of my tree diagram by going to the following website and clicking on problem number 211954. If it's not there when you look, wait 30 minutes and try again. it will be there.
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website: http://theo.x10hosting.com/
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the sample space would be a listing of all the possible outcomes.
you would have 18 of them.
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you could create a table listing the characteristics of each bicycle.
your table would list the characteristics of each bike.
example:
bike number-----frame type-----color------seat type
01------------------m-------------r-----------s
02------------------m-------------r-----------m
03------------------m-------------r-----------h
04------------------m-------------w-----------s
05------------------m-------------w-----------m
06------------------m-------------w-----------h
07------------------m-------------b-----------s
08------------------m-------------b-----------m
09------------------m-------------b-----------h
10------------------f-------------r-----------s
11------------------f-------------r-----------m
12------------------f-------------r-----------h
13------------------f-------------w-----------s
14------------------f-------------w-----------m
15------------------f-------------w-----------h
16------------------f-------------b-----------s
17------------------f-------------b-----------m
18------------------f-------------b-----------h
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