Aşağıdaki
$$\dfrac{\dbinom{23}{11}\dbinom{24}{11}}{\dbinom{23}{12}\dbinom{24}{12}}+\dfrac{\dbinom{24}{11}\dbinom{25}{11}}{\dbinom{24}{12}\dbinom{25}{12}}+\cdots+\dfrac{\dbinom{34}{11}\dbinom{35}{11}}{\dbinom{34}{12}\dbinom{35}{12}}$$
ifadesinin değeri nedir ?

$\textbf{a)}\ 7  \qquad \qquad \qquad\textbf{b)}\ 8  \qquad  \qquad\qquad\textbf{c)}\ 10 \qquad \qquad \qquad\textbf{d)}\ 11  \qquad\qquad \qquad\textbf{e)}\ 6$