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JEE Math Practice Question

The value of $$\left( {{}^{21}{C_1} - {}^{10}{C_1}} \right) + \left( {{}^{21}{C_2} - {}^{10}{C_2}} \right) + \left( {{}^{21}{C_3} - {}^{10}{C_3}} \right)$$ $$\left( {{}^{21}{C_4} - {}^{10}{C_4}} \right)$$$$ + .... + \left( {{}^{21}{C_{10}} - {}^{10}{C_{10}}} \right)$$ is

  1. A.$${2^{21}} - {2^{10}}$$
  2. B.$${2^{20}} - {2^{9}}$$
  3. C.$${2^{20}} - {2^{10}}$$
  4. D.$${2^{21}} - {2^{11}}$$

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