SOLUTION: Can someone help me to understand this problem? 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,

Question 150704This question is from textbook a survey of mathematic with applications
: Can someone help me to understand this problem?

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 a survey of mathematic with applications

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
a. Counting principle - 2 frames x 2 colors x 3 seats = 12 choices
b. Difficult to make a tree diagram with the software limitations, I can list all the possibilities and you can make it. This would answer c) also.
(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)

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