Correct Answer: Option D

Explanation

\(\frac{^n P_4}{ ^n C_4}\)

= \(\frac{\frac{n!}{(n - 4)!}}{\frac{n!}{(n - 4)!4!}}\)

= \(\frac{n!}{(n - 4))!}\) x \(\frac{(n - 4)!4!}{n!}\)

= 4! = 4 x 3 x 2 x1 = 24 (Note: n! cancels out n! and (n-4)! cancels out (n-4)!)

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