Subjects algebra

Factorial 342 74633B

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Question: User: 342!
1. **Stating the problem:** Calculate the factorial of $342$, denoted as $342!$. 2. **Formula and explanation:** The factorial of a positive integer $n$ is defined as the product of all positive integers from $1$ to $n$: $$n! = n \times (n-1) \times (n-2) \times \cdots \times 2 \times 1$$ 3. **Applying the formula:** For $342!$, this means: $$342! = 342 \times 341 \times 340 \times \cdots \times 2 \times 1$$ 4. **Important note:** The value of $342!$ is an extremely large number, far beyond typical calculator or manual computation. It is usually computed using software or approximated using Stirling's formula. 5. **Summary:** $342!$ is the product of all integers from $1$ to $342$. **Final answer:** $342!$ (exact value is very large and typically handled by computational tools).