Perform the indicated calculation.
-$\frac { _5 { P _ { 4 } } } { { } _ { 10 } P _ { 3 } }$
A)0.17
B)0.042
C)0.0000083
D)0.18

Question

Perform the indicated calculation.
-$\frac { _5  { P _ { 4 } } } { { } _ { 10 } P _ { 3 } }$
A)0.17
B)0.042
C)0.0000083
D)0.18

Quizplus · Accepted Answer

The calculation involves permutations. For $_n P _r = \frac{n!}{(n-r)!}$, so $_5 P _4 = \frac{5!}{(5-4)!} = \frac{5!}{1!} = 5 \times 4 \times 3 \times 2 = 120$ and $_{10} P _3 = \frac{10!}{(10-3)!} = \frac{10!}{7!} = 10 \times 9 \times 8 = 720$. Thus, $\frac { _5  { P _ { 4 } } } { { } _ { 10 } P _ { 3 } } = \frac{120}{720} = \frac{1}{6} \approx 0.17$.

Perform the Indicated Calculation 5P410P3\frac { _5 { P _ { 4 } } } { { } _ { 10 } P _ { 3 } }10​P3​5​P4​​

Perform the Indicated Calculation $\frac { _5 { P _ { 4 } } } { { } _ { 10 } P _ { 3 } }$