Question

evaluate the given expression.
p(n, 1)
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Explanation:

Step1: Recall permutation formula

The permutation formula is $P(n, k) = \frac{n!}{(n-k)!}$

Step2: Substitute k=1 into formula

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

Step3: Simplify the factorial expression

Since $n! = n \times (n-1)!$, substitute this into the numerator:
$\frac{n \times (n-1)!}{(n-1)!} = n$

Answer:

$n$