Let nCr denote the binomial coefficient of xr in the expansion of (1+x – InterviewSolution

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1.	Let nCr denote the binomial coefficient of xr in the expansion of (1+x)n. If 10∑k=0(22+3k)nCk=α⋅310+β⋅210, α, β∈R, then α+β is equal to
Answer» Let $^{n} C_{r}$ denote the binomial coefficient of $x^{r}$ in the expansion of ${(1 + x)}^{n} .$ If $10 \sum k = 0 (2^{2} + 3 k)^{n} C_{k} = α \cdot 3^{10} + β \cdot 2^{10},$ $α, β \in R,$ then $α + β$ is equal to

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