Question

a pizza shop lets you customize your pizza with 2 crust types, 5 sauces, and 10 toppings. how many different pizzas can you make?

number of pizzas = ?

Explanation:

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<reasoning>

Identify the choices for each category

\[

$$\begin{aligned} &\text{Crust types } (C) = 2 \\ &\text{Sauces } (S) = 5 \\ &\text{Toppings } (T) = 10 \end{aligned}$$

\]

Apply the multiplication rule

\[

$$\begin{aligned} \text{Total Pizzas} &= C \times S \times T \\ &= 2 \times 5 \times 10 \\ &= 100 \end{aligned}$$

\]
</reasoning>

<answer>
A pizza shop lets you customize your pizza with 2 crust types, 5 sauces, and 10 toppings. How many different pizzas can you make?

Number of Pizzas = <blank>100</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Fundamental Counting Principle"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
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"step_cot",
"blank_filling_formatter",
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</pre_analysis>

<reasoning>

Identify the choices for each category

\[

$$\begin{aligned} &\text{Crust types } (C) = 2 \\ &\text{Sauces } (S) = 5 \\ &\text{Toppings } (T) = 10 \end{aligned}$$

\]

Apply the multiplication rule

\[

$$\begin{aligned} \text{Total Pizzas} &= C \times S \times T \\ &= 2 \times 5 \times 10 \\ &= 100 \end{aligned}$$

\]
</reasoning>

<answer>
A pizza shop lets you customize your pizza with 2 crust types, 5 sauces, and 10 toppings. How many different pizzas can you make?

Number of Pizzas = <blank>100</blank>
</answer>

<post_analysis>
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"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Fundamental Counting Principle"
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