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Complex Numbers

If 8 C r =8 C...

Question

If $^{8} C_{r}$ = $^{8} C_{r + 2}$ , then the value of $^{r} C_{2}$ is

A

8

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B

3

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C

5

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D

2

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Solution

The correct option is B
3

$^{8} C_{r}$ = $^{8} C_{r + 2} \Rightarrow 8 - r$ = $r + 2 \Rightarrow r$ = 3

Hence $^{3} C_{2}$ = 3

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