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Q. If $\displaystyle\sum_{r=0}^{2 n} a_r(x-1)^r=\displaystyle\sum_{r=0}^{2 n} b_r(x-2)^r$ and $b_r=(-1)^{r-n}$ for all $r \geq n$, then $a_n$ is

Binomial Theorem

Solution:

Correct answer is (c) ${ }^{2 n+1} C_n$