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

The value of n, if ""^(n)P_(5) = 20.""^(n)P_(3) , is

Find the value of n if: (n+1)! =12.(n-1)!

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

Find the value of n such that "(i) "^(n)P_(5) =42 xx ""^(n)P_(3), n gt 4 " (ii) "(""^(n)P_(4))/(" "^(n-1)P_(4))=(5)/(3), n gt 4.

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

find the value of P(n,n-1)

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

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

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

Find the value of n if: (i) (n+2)! = 12n! (ii) (n+2)! = 60(n-1)! (iii) (n+3)! = 2550 (n+1)! (iv) (n-2)! = 132. (n-4)! .