Subjects combinatorics

Ice Cream Combinations A5725C

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1. **State the problem:** We want to find the total number of possible ice cream combinations given 6 flavors, 4 toppings, and 2 types of cones. 2. **Understand the problem:** Each ice cream combination consists of choosing one flavor, one topping, and one type of cone. 3. **Use the multiplication principle:** The total number of combinations is the product of the number of choices for each category. 4. **Calculate:** $$\text{Total combinations} = 6 \times 4 \times 2$$ 5. **Simplify:** $$6 \times 4 = 24$$ $$24 \times 2 = 48$$ 6. **Conclusion:** There are 48 possible ice cream combinations.