Question 187907This question is from textbook Survey of Mathematics w/ Applications expanded edition
: 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.
This question is from textbook Survey of Mathematics w/ Applications expanded edition
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
2*2*3 = 12
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b) Construct a tree diagram illustrating all the different arrangements of bicycles that are possible.
1st column: m and f
2nd column: c1,c2, c1,c2
3rd column: s,m,h ; s,m,h; s,m,h ; s,m,h
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c) List the sample space.
m,c1,s ; m,c1,m, s,c1,h; m,c2,s ; m,c2,m ; m,c2,h ; etc.
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Cheers,
Stan H.
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