Permutations And Combinations Question 242
Question: If $ {}^{n}P_5=20.\ {}^{n}P_3 $ , then $ n= $
Options:
A) 4
B) 8
C) 6
D) 7
 Correct Answer: B $ \Rightarrow  $  $ (n-3)(n-4)=20\Rightarrow n=-1,\ 8 $  But  $ -1 $  is not acceptable.Show Answer
  Answer:
Solution:
$ \frac{n\ !}{(n-5)\ !}\times \frac{(n-3)\ !}{n\ !} $ =20  
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