Find the sum - i-0 r n 1 r-i C n 2 i C

Let #160; S=∑_i=0 ^r #160; #160; #160;^n_1C_r i ^n_2C_i ⇒ S= Coefficient of x^r in (1+x)^n_1(1+x)^n_2 ⇒ S=^n_1+n_2C_r Therefo ...

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Sum of Coefficients of All Terms

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Question

Find the sum $\sum_{i = 0}^{r}_{1}_{2}$

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Solution

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