Prove that "^n C_0^(2n)C_n-^n C_1^(2n-1)C_n+^n C_2xx^(2n-2)C_n++( | Filo
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Class 11

Math

JEE Main Questions

Binomial Theorem

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Prove that \displaystyle\text{}^{{n}}{{C}_{{0}}^{{{2}{n}}}}{C}_{{n}}-^{{n}}{{C}_{{1}}^{{{2}{n}-{1}}}}{C}_{{n}}+^{{n}}{C}_{{2}}\times^{{{2}{n}-{2}}}{C}_{{n}}++{\left(-{1}\right)}^{{n}}^{n}{{C}_{{n}}^{{n}}}{C}_{{n}}={1}.

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