Question

what does the following expression mean?

\\7!\\

\\7 + 6 + 5 + 4 + 3 + 2 + 1\\

\\7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1\\

Explanation:

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<reasoning>

Define the factorial operation

\[
n! = n \cdot (n-1) \cdot (n-2) \cdots 2 \cdot 1
\]

Apply the definition to 7!

\[
7! = 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1
\]
</reasoning>

<answer>
<mcq-option>\(7 + 6 + 5 + 4 + 3 + 2 + 1\)</mcq-option>
<mcq-correct>\(7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1\)</mcq-correct>
</answer>

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"question_type": "Multiple Choice",
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Answer:

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<reasoning>

Define the factorial operation

\[
n! = n \cdot (n-1) \cdot (n-2) \cdots 2 \cdot 1
\]

Apply the definition to 7!

\[
7! = 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1
\]
</reasoning>

<answer>
<mcq-option>\(7 + 6 + 5 + 4 + 3 + 2 + 1\)</mcq-option>
<mcq-correct>\(7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1\)</mcq-correct>
</answer>

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"Factorial Notation"
]
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