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counting priciple and tree diagrams?
A specific brand of bike comes in two frames, for males or females. Each frame comes in a choice of two colors, red and blue, and with a choice of three seats, soft, medium, and hard.
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
Each frame (male or female) can have either of two colors, and any of three seats.
Frames x Colors x Seats =
(2)(2)(3) = 12
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This is hard to do typing, but I’ll try, using periods as spacers … You might need to fill in the connecting lines. (s = soft, m = medium, and h = hard)
………………………………………..bicycle
…………………..male…………………………………..female
……………..red……..blue………………………….red……..blue
…….s..m..h…………..s..m..h…………………s..m..h……s..m..h
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["male", "red", "soft"]
["male", "red", "medium"]
["male", "red", "hard"]
["male", "blue", "soft"]
["male", "blue", "medium"]
["male", "blue", "hard"]
["female", "red", "soft"]
["female", "red", "medium"]
["female", "red", "hard"]
["female", "blue", "soft"]
["female", "blue", "medium"]
["female", "blue", "hard"]
Touch-screen Information Kiosk for Giant Bicycles by Up Productions
