For r=0,1,...,10, let Ar,Br and Cr denote, repsectively, the coefficie – InterviewSolution

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1.	For r=0,1,...,10, let Ar,Br and Cr denote, repsectively, the coefficientt of xr in the expansions of (1+x)10,(1+x)20 and (1+x)30. The ∑10r=1A−r(B10Br−C10Ar) is equal to
Answer» For $r = 0, 1, . . ., 10$ , let $A_{r}, B_{r}$ and $C_{r}$ denote, repsectively, the coefficientt of $x^{r}$ in the expansions of $(1 + x)^{10}, (1 + x)^{20}$ and $(1 + x)^{30}$ . The $\sum_{r = 1}^{10} A - r (B_{10} B_{r} - C_{10} A_{r})$ is equal to

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