SOLUTION: 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, medi

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Question 200100: 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.
a) Use the counting principal 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.
Thank you for your help, I'm about to give up!
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
I assume that there are only 2 frames to choose between.
There are 3 permutations which must be multiplied.
2!*3!*3!
=2*3*2*3*2
=72 different arrangements
.
Now that you know the answer making the tree diagram should be easier.
.
Ed