1.2.17 Determinant calculation
condition: Calculate the determinant \[ \left|\begin{array}{llll} C_{m+n}^{n} & C_{m+n+1}^{n} & \ldots & C_{m+2 n}^{n} \\ C_{m+n+1}^{n} & C_{m+n+2}^{n} & \ldots & C_{m+2 n+1}^{n} \\ \cdots & \cdots & \cdots & \cdots \\ C_{m+2 n}^{n} & C_{m+2 n+1}^{n} & \ldots & C_{m+3 n}^{n} \end{array}\right| \]
Calculation of determinants - both simple and complex, both low orders and higher ones.