Question

7.4
score: 2/17 answered: 2/17
question 3
evaluate.
p(5, 4) =
question help: ebook written example

Explanation:

Step1: Recall Permutation Formula

The permutation formula is \( P(n, r)=\frac{n!}{(n - r)!} \), where \( n!=n\times(n - 1)\times\cdots\times1 \) and \( 0!=1 \). For \( P(5, 4) \), \( n = 5 \) and \( r = 4 \).

Step2: Substitute Values into Formula

Substitute \( n = 5 \) and \( r = 4 \) into the formula: \( P(5, 4)=\frac{5!}{(5 - 4)!}=\frac{5!}{1!} \).

Step3: Calculate Factorials

We know that \( 5!=5\times4\times3\times2\times1 = 120 \) and \( 1!=1 \). So \( \frac{5!}{1!}=\frac{120}{1}=120 \).

Answer:

\( 120 \)