Subjects combinatorics

Pizza Choices 6C43Fc

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1. **State the problem:** We need to find how many different pizzas can be made by choosing one dough, one sauce, and one topping. 2. **Identify the choices:** - Dough types: 3 - Sauces: 3 - Toppings: 8 3. **Formula used:** The total number of combinations when choosing one item from each category is given by the multiplication principle: $$\text{Total choices} = \text{(number of doughs)} \times \text{(number of sauces)} \times \text{(number of toppings)}$$ 4. **Calculate:** $$3 \times 3 \times 8 = 9 \times 8 = 72$$ 5. **Explanation:** Since each choice is independent, multiplying the number of options in each category gives the total number of unique pizzas possible. **Final answer:** There are **72** different pizza choices available.