Permutations And Combinations Question 248

Question: If $ ^{n}P_5=9{{\times }^{n-1}}P_4 $ , then the value of $ n $ is

Options:

A) 6

B) 8

C) 5

D) 9

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ \frac{^{n}P_5}{^{n-1}P_4}=9\Rightarrow \frac{n!}{(n-5)!}\times \frac{(n-5)!}{(n-1)!}=9\Rightarrow n=9 $ .