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nP3 = n! / (n-3)!
n! / (n-4)! 4! = n! / (n-3)!
n! (n-4)! 4! = n! (n-3)!
n! (n-4)! 4! = n! (n-3) * (n-4)!
4! = n! (n-3) * (n-4)! / n! (n-4)!
4! = n - 3
4 * 3 * 2 * 1 = n - 3
24 = n - 3
n = 24 + 3
n = 27