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

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Solution

The correct option is C 3
Since $C_{r}^{n} = C_{n - r}^{n}$
$⟹ r = 8 - (r + 2)$
Hence $r = 3$
$^{3} C_{2} = 3$

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

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