Simplify (frac{^{n}P_{4}}{^{n}C_{4}})
-
A.
24 -
B.
18 -
C.
12 -
D.
6
Correct Answer: Option A
Explanation
(^{n}P_{4} = frac{n!}{(n – 4)!})
(^{n}C_{4} = frac{n!}{(n – 4)! 4!})
(frac{^{n}P_{4}}{^{n}C_{4}} = frac{n!}{(n – 4)!} ÷ frac{n!}{(n – 4)! 4!})
= (4! = 24)