The expression you've provided is:

\[
(n-k)! \times k! \times n^k
\]

This expression is a product of three terms:

1. \((n-k)!\): The factorial of \((n-k)\).
2. \(k!\): The factorial of \(k\).
3. \(n^k\): The \(k\)-th power of \(n\).

This is a general form and can be interpreted in different contexts depending on how it is used. For example, it might appear in combinatorial problems, probability, or other mathematical contexts.

Would you like a detailed explanation of how this expression is used in a particular type of problem, or do you have a specific question about it?

Here are some related questions:

1. How do factorials work and what are some common uses of factorials in mathematics?
2. What is the binomial theorem, and how does it relate to expressions involving factorials?
3. Can you explain how combinatorial coefficients are derived from factorials?
4. What is the significance of the \(n^k\) term in probability or combinatorics?
5. How would this expression change if we were to sum over all possible values of \(k\)?

**Tip:** Factorials grow very quickly as \(n\) increases, so expressions involving factorials can lead to very large numbers.

Explore the expression (n-k)! * k! * n^k in mathematics. This involves factorials, combinatorics, and probability, with applications in various mathematical contexts. Get insights into its significance and uses.

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