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If $A$ and $B$ are coefficients of $x^{r}$ and $x^{n - r}$ respectively in the expansion of $(1 + x)^{n}$ , then

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A=B

A+B=0

A=rB

A=nB

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detailed solution

Correct option is A

We have,A = Coeff. of xr in the expansion of (1+x)n=nCrB = Coeff. of xn-r in the expansion of (1+x)n=nCn−r∵ nCr=nCn−r ∴A=B

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If A and B are coefficients of xr and xn-r respectively in the expansion of (1+x)n, then

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If $A$ and $B$ are coefficients of $x^{r}$ and $x^{n - r}$ respectively in the expansion of $(1 + x)^{n}$ , then