To compute the expression \((n-k)! \times k! \times n^k\), you need to know the specific values of \(n\) and \(k\). Without these values, the expression remains symbolic.

However, if you provide specific values for \(n\) and \(k\), I can compute the exact result for you.

Do you have specific values for \(n\) and \(k\) that you'd like to use? Or would you like to see a general example of how to compute it?

Here are some related questions:

1. How would this expression simplify for specific values of \(n\) and \(k\)?
2. Can this expression be related to any known combinatorial formula?
3. What happens if \(k = n\) in this expression?
4. How does the factorial part of the expression affect its overall growth as \(n\) and \(k\) increase?
5. Can this expression be used to solve real-world problems, like counting permutations or combinations?

**Tip:** When working with factorials in large expressions, be mindful of computational limits, as factorials grow rapidly.

Explore how to compute the expression (n-k)! * k! * n^k in mathematics. Understand the factorial formula and its implications for combinatorial mathematics and exponential growth. Suitable for advanced high school students and enthusiasts of mathematical formulas.

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