The value of

Question:

The value of

$$

\begin{aligned}

&\left({ }^{21} \mathrm{C}_{1}-{ }^{10} \mathrm{C}_{1}\right)+\left({ }^{21} \mathrm{C}_{2}-{ }^{10} \mathrm{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) \text { is :- }

\end{aligned}

$$

  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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