First, we can list the options for shoes:
- Black shoes
- Yellow shoes
And we can list the options for socks:
- Green socks
- Yellow socks
- White socks
- Black socks
To create a tree diagram, we start with the four options for socks at the top of the diagram:
```
Green
/ | \
Yellow | White
|
Black
```
From each sock option, we draw branches for the two shoe options:
```
Green
/ | \
Yellow | White
/\ | /\
Black Yellow Black Yellow
```
Now we can read the possible combinations from the branches:
- Green socks with black shoes
- Green socks with yellow shoes
- Yellow socks with black shoes
- Yellow socks with yellow shoes
- Yellow socks with black shoes
- Yellow socks with yellow shoes
- White socks with black shoes
- White socks with yellow shoes
- Black socks with black shoes
- Black socks with yellow shoes
- Black socks with black shoes
- Black socks with yellow shoes
In total, that's 12 possible shoe and sock combinations.
The University of Oregon’s football team has many different uniforms. The coach can choose from four colors of jerseys and pants: green, yellow, white, and black. There are three helmet options: green, white, and yellow. Also, there are the same four colors of socks and two colors of shoes, black and yellow. Use a tree diagram to find all of the possible shoe and sock combinations.
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