Let { }^{n} C_{r} denote the binomial coefficient of x^{r} in the expansion of (1+x)^{n}. If \sum_{k=0}^{10}(2^{2}+3 k){ }^{n} C_{k}=\alpha \cdot 3^{10}+\beta \cdot 2^{10}, \alpha, \beta \in R, then \alpha+\beta is equal to ............ [18 Mar 2021 Shift 2]

Binomial Theorem Part 1

Section: Mathematics

Question : 9 of 100

Marks: +1, -0

Let ‌nCr denote the binomial coefficient of xr in the expansion of (1+x)n.
If

∑

k=0

(22+3k)‌nCk=α⋅310+β⋅210,α,β∈R, then α+β is equal to ............

[18 Mar 2021 Shift 2]

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