Find the value of `n`, if ` ""^(n) P_3=60`

Find the value of if n if "^(n+1)P_3 = 4^(n)P_2

The value of P(n,n) is

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 the value of   P( n , n -1 )

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

Find the value of n such that (i)^nP_(5)=42^(n)P_(3),n>4(nP_(4))/(n-1P_(4))=(5)/(3),n>4

Find the value of (n!)/((n-r)!) ,if n=10 and r=3 .