Question

evaluate the given expression.
p(6, 6)

Explanation:

Step1: Recall permutation formula

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

Step2: Substitute n=6, k=6

$P(6, 6) = \frac{6!}{(6-6)!}$

Step3: Simplify denominator

$6-6=0$, and $0!=1$, so $P(6, 6) = \frac{6!}{1}=6!$

Step4: Calculate 6 factorial

$6! = 6\times5\times4\times3\times2\times1 = 720$

Answer:

720