Question

evaluate the given expression.
p(n, 1)

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 ratio

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

Answer:

$n$