Question

is the permutation given p(5,r)=2p(8,2r)

Answer 1

$p(5,r) \neq 2p(8,2r) \\ \\ Take\ example\ of\ r=2 \\ \\ p(5,3)= \frac{5!}{(5-2)!}= \frac{5!}{3!} =5*4=20 \\ \\ 2p(8,2r)=2p(8,4)=2* \frac{8!}{(8-4)!} =2* \frac{8!}{4!} =3360 \\ \\ They\ are\ not\ equal.$