If nP4 = 360, find the value of n.
Given: nP4 = 360
To find: value of n
nP4 can be written as P(n, 4)
We know,
So, according to question:
nP4 = P(n, 4) = 360
⇒ n (n – 1) (n – 2) (n – 3) = 360
⇒ n (n – 1) (n – 2) (n – 3) = 6×5×4×3
On comparing:
The value of n = 6