The value of

Question:

The value of

$\left({ }^{21} C_{1}-{ }^{10} C_{1}\right)+\left({ }^{21} C_{2}-{ }^{10} C_{2}\right)+$

$\left({ }^{21} \mathrm{C}_{3}-{ }^{10} \mathrm{C}_{3}\right)+\left({ }^{21} \mathrm{C}_{4}-{ }^{10} \mathrm{C}_{4}\right)+\ldots .+$

$\left({ }^{21} \mathrm{C}_{10}-{ }^{10} \mathrm{C}_{10}\right)$ is :-

  1. $2^{20}-2^{10}$

  2. $2^{21}-2^{11}$

  3. $2^{21}-2^{10}$

  4. $2^{20}-2^{9}$


Correct Option: 1

Solution:

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