$\displaystyle F:=F(A,B,C,D)=(A+B+C+D)^{6} $ and $\displaystyle G:=G(A,B,C,D)=(A^{2}+B+C^{2}+D)^{4}$

determine the coefficients with which the following terms appear in F and G.

i)$\displaystyle A^{2}BC^{2}D $

ii)$\displaystyle A^{2}B^{2}CD$

iii)$\displaystyle A^{2}B^{3}$

i have some lecture notes on this but would find it great help if someone could show me how,also so i could double check my answers when i get them.