If for some m, n;^6 C_m+2(^6 C_m+1)+^6 C_m+2>^8 C_3 and ^n-1 P_3:^n P_4=1: 8, then ^n P_m+1+^n +1 C_m is equal to

If for some $\displaystyle m, n ;{ }^6 C_m+2\left({ }^6 C_{m+1}\right)+{ }^6 C_{m+2}>{ }^8 C_3$ and $\displaystyle { }^{n-1} P_3:{ }^n P_4=1: 8$, then $\displaystyle { }^n P_{m+1}+{ }^{\mathrm{n}+1} C_m$ is equal to