Find `n` if ` .^(n-1)P_(3):^(n)P_(4)=1:9`

Find n, if ""^(n)P_(5)=42 ""^(n)P_(3), n ge 5

Find n If : ""^(n)P_4 : "" ^(n-1)P_3 = 9: 1

Find n if : ""^(2n+1) P_(n-1) : ""^(2n-1) P_n = 3: 5

Find the value of n if ""^(n) P_(13) : ""^(n+1) P_(12) =(3)/(4)

Find n if : "" ^(2n)P_(n+1) : ""^(2n-2) P_n = 56 : 3

Find n if : 2P( n,3) = P(n+1,3)

If ""^(2n-1)P_(n): ""^(2n+1)P_(n-1)=22:7 , find n.

Find the value of n from each of the following: (i) 10 .^(n)P_(6) = .^(n+1)P_(3) (ii) 16.^(n)P_(3) = 13 .^(n+1)P_(3)

If .^(n)P_(4): .^(n)P_(5) = 1:2 , find the value of n.

if .^(2n+1)P_(n-1):^(2n-1)P_(n)=7:10 , then .^(n)P_(3) equals