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

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