Subjects combinatorics

Popcorn Combinations A469F9

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1. **Stating the problem:** Frank can choose a combo menu with one type of popcorn, one type of soda, and one type of snack. We want to find out how many ways he can do this. 2. **Formula and rules:** The total number of combinations when choosing one item from each category is the product of the number of options in each category. 3. **Given data:** - Popcorn options: 6 - Soda options: 3 - Snack options: 4 4. **Calculation:** $$\text{Total combinations} = 6 \times 3 \times 4$$ 5. **Simplify:** $$6 \times 3 = 18$$ $$18 \times 4 = 72$$ 6. **Answer:** Frank can choose his combo menu in **72** different ways.