$$\text { Evaluate the permutation: } { } _ { 10 } P _ { 8 }$$
A) 80
B) 1,814,400
C) 45
D) 3,628,800

Name: \[\text { Evaluate the permutation: } { } _ { 10 } P _ { 8 }\] A) 80 B) 1,814,400 C) 45 D) 3,628,800
Brand: Quizplus
Rating: 4.8 (26 reviews)

Question

Quizplus · Accepted Answer

The permutation formula is $nPr = \frac{n!}{(n-r)!}$. Here, $n = 10$ and $r = 8$, so $ _{10}P_{8} = \frac{10!}{(10-8)!} = \frac{10!}{2!} = \frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3}{2} = 1,814,400$.

Evaluate the permutation: 10P8\text { Evaluate the permutation: } { } _ { 10 } P _ { 8 } Evaluate the permutation: 10​P8​

$\text { Evaluate the permutation: } { } _ { 10 } P _ { 8 }$