Question

if np4=360 than find n​

Answer 1

The value of n is "6".

Step-by-step explanation:

Given,

P (n , 4 ) = 360

⇒ $\frac{n!}{(n - 4)!}$ = 360

⇒ $\frac{n·(n - 1)(n - 2)(n - 3)(n - 4)!}{(n - 4)!}$ = 360

⇒ n·(n - 1)(n - 2)(n - 3) = 360

⇒ 6·(6 - 1)(6 - 2)(3 - 3) = 360

∴ n = 6

Hence, n = 6.