$(o n) + (1 n) + (2 n) + ......... + (n n) =$

2^{n - 1}

^{2 n} C_{n}

2^{n}

2^{n + 1}

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(o n) + (1 n) + (2 n) + ......... + (n n) =

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Text solutionVerified

(1 + x)^{n} =^{n} C_{0} +^{n} C_{1} x +^{n} C_{2} x^{2} + ...^{n} C_{n} x^{n}

Substituting x=1, we get

2^{n} =^{n} C_{0} +^{n} C_{1} +^{n} C_{2} + ...^{n} C_{n}

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