Subjects combinatorics

Meal Combinations 46577C

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1. **State the problem:** Julius wants to know how many different meal combinations he can have if he chooses one dish from each course: appetizer, main course, and dessert. 2. **Formula used:** When choosing one item from each category, the total number of combinations is the product of the number of choices in each category. 3. **Apply the formula:** - Number of appetizers = 3 - Number of main courses = 4 - Number of desserts = 3 Total combinations = $3 \times 4 \times 3$ 4. **Calculate:** $$3 \times 4 = 12$$ $$12 \times 3 = 36$$ 5. **Answer:** Julius has 36 different meal combinations to choose from.