Permutations And Combinations Question 110
Question: If $ ^{n+1}C_3=2{{}^{n}}C_2, $ then n = [MP PET 2000; Pb. CET 2002]
Options:
A) 3
B) 4
C) 5
D) 6
Correct Answer: CShow Answer
Answer:
Solution:
Þ $ \frac{(n+1)!}{3!.(n-2)!}=2.\frac{n!}{2!.(n-2)!} $
Þ $ \frac{n+1}{3.2!}=\frac{2}{2!} $
Þ $ n+1=6\Rightarrow n=5 $ .