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