1. **State the problem:** You want to find how many different smoothies you can make using 3 types of fruit, 4 types of veggies, and 2 types of juice. 2. **Formula used:** When choosing one item from each category independently, the total number of combinations is the product of the number of choices in each category. 3. **Apply the formula:** $$\text{Total smoothies} = 3 \times 4 \times 2$$ 4. **Calculate:** $$3 \times 4 = 12$$ $$12 \times 2 = 24$$ 5. **Interpretation:** You can make 24 different smoothies by choosing one fruit, one veggie, and one juice each morning. **Final answer:** 24