Find the numerical value.
-$$\mathrm { P } _ { 4 } ^ { 8 }$$
A)4
B)2
C)1680
D)70

Question

Quizplus · Accepted Answer

$\mathrm { P } _ { 4 } ^ { 8 }$ refers to the number of permutations of 8 items taken 4 at a time. The formula for permutations is $\mathrm { P } _ { r } ^ { n } = \frac { n ! } { ( n - r ) ! }$. Plugging in the values, we get $\mathrm { P } _ { 4 } ^ { 8 } = \frac { 8 ! } { ( 8 - 4 ) ! } = \frac { 8 ! } { 4 ! } = \frac { 8 \times 7 \times 6 \times 5 \times 4 ! } { 4 ! } = 8 \times 7 \times 6 \times 5 = 1680$.

Find the Numerical Value P48\mathrm { P } _ { 4 } ^ { 8 }P48​

Find the Numerical Value $\mathrm { P } _ { 4 } ^ { 8 }$