Mathematics · 2021
JEE Main · 24 February 2021, Shift 1 · Q64
The value of -^15 C_1+2 ·^15 C_2-3 ·^15 C_3+⋯ ·-15 ·^15 C_15+^14 C_1+^14 C_3+^14 C_5+⋯+^14 C_11 is:
The value of
$$-{ }^{15} \mathrm{C}_1+2 \cdot{ }^{15} \mathrm{C}_2-3 \cdot{ }^{15} \mathrm{C}_3+\cdots \cdot-15 \cdot{ }^{15} \mathrm{C}_{15}+{ }^{14} \mathrm{C}_1+{ }^{14} \mathrm{C}_3+{ }^{14} \mathrm{C}_5+\cdots+{ }^{14} \mathrm{C}_{11} \text { is : }
$$
Official answer
(2)
$\displaystyle 2^{13}-14$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.