Permutations And Combinations Question 185

Question: If $ ^{n}C _{r}={{}^{n}}{C _{r-1}} $ and $ ^{n}P _{r}{{=}^{n}}{P _{r+1}} $ , then the value of n is

Options:

A) 3

B) 4

C) 2

D) 5

Show Answer

Answer:

Correct Answer: A

Solution:

  • The conditions provided that $ n-r=r-1 $
    Þ $ r=\frac{n+1}{2} $ . So if we put $ n=3 $ , then $ r=2 $ satisfies the conditions.