Find the sum 2..10C0+222.10C1+323.10C2+424.10C3+....+11211.10C10.

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Find the sum {2}..^{{{10}}}{C}_{{{0}}}+{{{2}^{{{2}}}}}{{{2}}}.

Question

Find the sum
$2 . .^{10} C_{0} + \frac{2 ^{2}}{2} .^{10} C_{1} + \frac{2 ^{3}}{3} .^{10} C_{2} + \frac{2 ^{4}}{4} .^{10} C_{3} + .... + \frac{2 ^{11}}{11} .^{10} C_{10}$ .

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Find the sum

2 . .^{10} C_{0} + \frac{2 ^{2}}{2} .^{10} C_{1} + \frac{2 ^{3}}{3} .^{10} C_{2} + \frac{2 ^{4}}{4} .^{10} C_{3} + .... + \frac{2 ^{11}}{11} .^{10} C_{10}

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Question Text

Find the sum

2 . .^{10} C_{0} + \frac{2 ^{2}}{2} .^{10} C_{1} + \frac{2 ^{3}}{3} .^{10} C_{2} + \frac{2 ^{4}}{4} .^{10} C_{3} + .... + \frac{2 ^{11}}{11} .^{10} C_{10}