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Mathematics · 2017
JEE Main 2017 · 2017-04-02 Offline · Q67
The value of (^21 C_1-^10 C_1)+(^21 C_2-^10 C_2)+ (^21 C_3-^10 C_3)+(^21 C_4-^10 C_4)+…..+ (^21 C_10-^10 C_10) is:
The value of
$$\begin{aligned}
& \left({ }^{21} C_1-{ }^{10} C_1\right)+\left({ }^{21} C_2-{ }^{10} C_2\right)+ \\
& \left({ }^{21} C_3-{ }^{10} C_3\right)+\left({ }^{21} C_4-{ }^{10} C_4\right)+\ldots . .+ \\
& \left({ }^{21} C_{10}-{ }^{10} C_{10}\right) \text { is : }
\end{aligned}
$$
Official answer
(3)
$\displaystyle 2^{20}-2^{10}$
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.