Let n k denote ^n C_k and [n; k] = {n k, if 0 ≤ k ≤ n; 0, otherwise.} If A_k =Σ_i=0^9 9 i [12; 12- k +i] +Σ_i=0^8 8 i [13; 13- k +i] and A_4- A_3=190…

Let $\displaystyle \binom{\mathrm{n}}{\mathrm{k}}$ denote $\displaystyle { }^{\mathrm{n}} \mathrm{C}_{\mathrm{k}}$ and $$\left[\begin{array}{l} \mathrm{n} \\ \mathrm{k} \end{array}\right]=\left\{\begin{array}{c} \binom{\mathrm{n}}{\mathrm{k}}, \text { if } 0 \leq \mathrm{k} \leq \mathrm{n} \\ 0, \text { otherwise. } \end{array}\right. $$ If $\displaystyle \mathrm{A}_{\mathrm{k}}=\sum_{i=0}^9\binom{9}{i}\left[\begin{array}{c}12 \\ 12-\mathrm{k}+i\end{array}\right]+\sum_{i=0}^8\binom{8}{i}\left[\begin{array}{c}13 \\ 13-\mathrm{k}+i\end{array}\right]$ and $\displaystyle \mathrm{A}_4-\mathrm{A}_3=190 \mathrm{p}$, then p is equal to \_\_\_\_ .