Permutations And Combinations Question 163

Question: If $ ^{n}C _{12}={{}^{n}}C_6 $ , then $ ^{n}C_2= $ [Karnataka CET 2005]

Options:

A) 72

B) 153

C) 306

D) 2556

Show Answer

Answer:

Correct Answer: B

Solution:

  • Given $ {{}^{n}}C _{12}={{}^{n}}C_6 $ \ $ 12+6=n\Rightarrow n=18 $ \ $ ^{18}C_2=\frac{18\times 17}{2}=9\times 17=153 $ .