Directions: Read and solve the problem below. Write your answer on your answer sheet. Joy has a black and green pants with white, yellow, blue and red shirts in her cabinet. How many different choices of pants and shirts can she wear? Write the possible outcomes in either listing, tree diagram and tabular form.

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UpStudy AI · Accepted Answer

**Step 1. Determine the number of choices for each item**

Joy has:
- $$2$$ choices for pants (black and green)
- $$4$$ choices for shirts (white, yellow, blue, red)

**Step 2. Use the Multiplication Principle**

The total number of choices is given by:
$$
2 \times 4 = 8
$$

**Step 3. List the possible outcomes**

The outcomes can be listed as follows:

- (Black, White)
- (Black, Yellow)
- (Black, Blue)
- (Black, Red)
- (Green, White)
- (Green, Yellow)
- (Green, Blue)
- (Green, Red)

**Step 4. Represent the outcomes in a tree diagram**

```
            Pants
           /     \
      Black       Green
      / | \ \       / | \ \
White Yellow Blue Red White Yellow Blue Red
```

**Step 5. Represent the outcomes in a tabular form**

|            | White      | Yellow     | Blue       | Red        |
|------------|------------|------------|------------|------------|
| **Black**  | (Black, White)  | (Black, Yellow)  | (Black, Blue)  | (Black, Red)  |
| **Green**  | (Green, White)  | (Green, Yellow)  | (Green, Blue)  | (Green, Red)  |

Thus, Joy has $$8$$ different choices of pants and shirts.
Joy has 8 different choices of pants and shirts. The possible combinations are: - Black and White - Black and Yellow - Black and Blue - Black and Red - Green and White - Green and Yellow - Green and Blue - Green and Red

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