Find the sum i=0∑r.n1Cr−i.n2Ci .

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Find the sum {_{{{i}={0}}}^{{r}}}.^{{{n}_{{1}}}}{C}_{{{r}-{i}}

Question

Find the sum $i = 0 \sum r .^{n_{1}} C_{r - i} .^{n_{2}} C_{i}$ .

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i = 0 \sum r .^{n_{1}} C_{r - i} .^{n_{2}} C_{i}

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Question Text

Find the sum

i = 0 \sum r .^{n_{1}} C_{r - i} .^{n_{2}} C_{i}