evaluate.\n$_{4}p_{4} = \\square$\nsubmit
evaluate.\n$_{4}p_{4} = \\square$\nsubmit
Answer
Explanation:
Step1: Recall permutation formula
The formula for permutations $_nP_r$ is $\frac{n!}{(n-r)!}$, where $n!=n\times(n-1)\times\cdots\times1$.
Step2: Substitute n=4, r=4
$$_4P_4 = \frac{4!}{(4-4)!}$$
Step3: Calculate factorials
$4!=4\times3\times2\times1=24$, and $0!=1$ by definition. $$_4P_4 = \frac{24}{1}$$
Step4: Simplify the expression
$$_4P_4 = 24$$
Answer:
24