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Part 1

You would like to​ "build-your-own-burger" at a​ fast-food restaurant. There are 

ninenine 

different​ breads, 

sixsix 

different​ cheeses, 

fourfour 

different cold​ toppings, and 

twotwo 

different sauces on the menu. If you want to include one choice from each of these ingredient​ categories, how many different burgers can you​ build?

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Part 1

You can make 

enter your response here 

different burgers.

To solve this problem, we need to calculate how many different burgers you can build, given the number of choices in each category. You can choose:

- **9 breads**
- **6 cheeses**
- **4 cold toppings**
- **2 sauces**

Since you want to choose **one option from each category**, the total number of different burgers you can build is the product of the number of choices in each category.

\[
\text{Total number of burgers} = 9 \times 6 \times 4 \times 2
\]

Let’s calculate that:

\[
9 \times 6 = 54
\]
\[
54 \times 4 = 216
\]
\[
216 \times 2 = 432
\]

So, you can make **432 different burgers**.

---

Would you like more details on how this is calculated or have any questions?

Here are 5 related questions for further practice:

1. What if there were 3 types of sauces instead of 2?
2. How many different burgers can you build if you exclude cheese?
3. How would the number of possible burgers change if you can choose two cold toppings instead of just one?
4. What if you have an additional category for 5 types of hot toppings?
5. If you can choose between two types of patties (beef and chicken), how many different burgers can you build now?

**Tip:** When dealing with choices in different categories, multiplying the number of options in each category gives the total number of combinations.

You would like to​ 'build-your-own-burger' at a​ fast-food restaurant. There are nine different breads, six different cheeses, four different cold toppings, and two different sauces on the menu. If you want to include one choice from each of these ingredient​ categories, how many different burgers can you​ build?

Learn how to calculate the total number of possible combinations for building your own burger at a fast-food restaurant. This problem uses basic combinatorics to show how to combine different choices of breads, cheeses, toppings, and sauces. Suitable for students in Grades 5-7.

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