Math Question Help - No Need to Rush

\(\dbinom{n}{k} = \dfrac{n!}{k!(n-k)!}\\ n! = n \cdot (n-1) \cdot (n-2) \cdot \dots \cdot 3 \cdot 2\)

Note that

C(n,m) + C(n + 1, m + 1) + C(n + 2, m + 2)  + .....+ C( n + q, m + q)  =  C (n + q + 1, m + q)

So

C(4,0)  + C(5, 1) + C(6,2) + C(7, 3)  = C(8, 3)   =   56