\[C = C_{13}^{3} \bullet C_{13}^{4} \bullet C_{13}^{5} \bullet C_{13}^{2} =\]
\[= \frac{13^{4} \bullet 12^{4} \bullet 11^{3} \bullet 10^{2} \bullet 9}{5 \bullet 4^{2} \bullet 3^{3} \bullet 2^{4}} =\]
\[= 20\ 527\ 933\ 140.\]