Simplify \(\frac{^{n}P_{5}}{^{n}C_{5}}\).
- 80
- 90
- 110
-
120
The correct answer is: D
Explanation
\(\frac{^{n}P_{5}}{^{n}C_{5}} = \frac{n!}{(n-5)!} ÷ \frac{n!}{(n-5)!5!}\)
= \(\frac{n!}{(n-5)!} \times \frac{(n-5)!5!}{n!} = 5! = 120\)