The expression $P(n, 1)$ refers to a permutation of $n$ objects taken 1 at a time. The formula for permutations is:

$P(n, r) = \frac{n!}{(n - r)!}$

In this case, where $r = 1$, the formula simplifies to:

$P(n, 1) = \frac{n!}{(n - 1)!}$

Since $n! = n \times (n - 1)!$, the expression further simplifies to:

$P(n, 1) = n$

This means that the number of ways to select 1 object from $n$ objects is simply $n$, as you're just choosing 1 item out of $n$.

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the formula for $P(n, r)$ in general?
2. How does the concept of permutations differ from combinations?
3. How would $P(n, 2)$ be calculated?
4. How is the factorial function used in permutation problems?
5. What are some practical examples of permutations?

Tip: Always remember that order matters in permutations, but not in combinations.