Determine the Appropriate Counting Technique to Use
-${ } _ { 9 } \mathrm { P } _ { 4 }$
A) 3024
B) 15,120
C) 90,720
D) 362,880

Question

Quizplus · Accepted Answer

${ } _ { 9 } \mathrm { P } _ { 4 } = \frac{9!}{(9-4)!} = \frac{9!}{5!} = \frac{9 \times 8 \times 7 \times 6 \times 5!}{5!} = 9 \times 8 \times 7 \times 6 = 3024.$ This formula calculates the number of ways to arrange 4 items out of 9, without repetition.

Determine the Appropriate Counting Technique to Use - 9P4{ } _ { 9 } \mathrm { P } _ { 4 }9​P4​

Determine the Appropriate Counting Technique to Use
- ${ } _ { 9 } \mathrm { P } _ { 4 }$