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The coefficient will be :

C(19, 10) * (2^10) * (-1) = 92378*1024*(-1) =  -94595072

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admin asked Apr 30, 2020
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Show that if $n$ and $k$ are integers with $1 \leq k \leq n,$ then $\binom{n}{k} \leq \frac{n^{k}}{2^{k−1}}.$