Question Number 74590 by Aditya789 last updated on 27/Nov/19
Answered by MJS last updated on 27/Nov/19
$${n}=\mathrm{7} \\ $$$$\mathrm{the}\:\mathrm{coefficients}\:\mathrm{then}\:\mathrm{are}\:\begin{pmatrix}{{n}}\\{{k}}\end{pmatrix}\:\mathrm{with}\:{n}=\mathrm{7};\:\mathrm{0}\leqslant{k}\leqslant\mathrm{7} \\ $$$$\begin{pmatrix}{\mathrm{7}}\\{\mathrm{0}}\end{pmatrix};\:\begin{pmatrix}{\mathrm{7}}\\{\mathrm{1}}\end{pmatrix};\:\begin{pmatrix}{\mathrm{7}}\\{\mathrm{2}}\end{pmatrix};\:\begin{pmatrix}{\mathrm{7}}\\{\mathrm{3}}\end{pmatrix};\:\begin{pmatrix}{\mathrm{7}}\\{\mathrm{4}}\end{pmatrix};\:\begin{pmatrix}{\mathrm{7}}\\{\mathrm{5}}\end{pmatrix};\:\begin{pmatrix}{\mathrm{7}}\\{\mathrm{6}}\end{pmatrix};\:\begin{pmatrix}{\mathrm{7}}\\{\mathrm{7}}\end{pmatrix} \\ $$$$\mathrm{1}\:\mathrm{7}\:\mathrm{21}\:\mathrm{35}\:\mathrm{35}\:\mathrm{21}\:\mathrm{7}\:\mathrm{1} \\ $$