Permutations And Combinations Question 94

Question: If $ ^{8}C _{r}{{=}^{8}}{C _{r+2}} $ , then the value of $ ^{r}C_2 $ is [MP PET 1984; RPET 1987]

Options:

A) 8

B) 3

C) 5

D) 2

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ ^{8}C _{r}{{=}^{8}}{C _{r+2}}\Rightarrow 8-r=r+2\Rightarrow r=3 $ Hence $ ^{3}C_2=3 $ .