Question 204904
a)


Number of Genders * Number of Colors * Number of Seat Choices = 2 * 3 * 3 = 6 * 3 = 18


So there are 18 different bike configurations.


b)


Here's the tree:


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/work/w5a310b-2.png">


c)


Here are ALL of the possible configurations which form the sample space:


{male, red, soft}
{male, red, medium}
{male, red, hard}
{male, white, soft}
{male, white, medium}
{male, white, hard}
{male, blue, soft}
{male, blue, medium}
{male, blue, hard}

{female, red, soft}
{female, red, medium}
{female, red, hard}
{female, white, soft}
{female, white, medium}
{female, white, hard}
{female, blue, soft}
{female, blue, medium}
{female, blue, hard}


Note: an example point {female, red, soft} means that the bike has a female frame, is red, and has a soft seat.


If you count all of the possible configurations, you'll count out 18 possible configurations.