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If $α$ and $β$ are the coefficients of $x^{r}$ and $x^{n - r}$ respec-tively in the expansion of $(1 + x)^{n}$ , then

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α=β

α+β=n

α=kβ for some constant k

α+β=2n

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detailed solution

Correct option is A

α=nCr and β=nCn−r∴ α=β

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If α and β are the coefficients of xr and xn-r respec-tively in the expansion of (1+x)n, then

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If $α$ and $β$ are the coefficients of $x^{r}$ and $x^{n - r}$ respec-tively in the expansion of $(1 + x)^{n}$ , then