[" Find the number of integral solutions of the system "x_(1)+x_(2)+x_(3)+x_(4)+x_(5)=20" and "x_(1)+x_(2)+x_(3)=],[" where "x_(k)>=0]

Find the number of positive integral solutions of x_(1)x_(2)x_(3)x_(4)=1050 .

Find the number of positive integral solutions of x_(1)x_(2)x_(3)=30 .

Total number of integral solutions of the system of equations x_(1)+x_(2)+x_(3)+x_(4)+x_(5)=20and x_(1)+x_(2)+x_(3)=5" when "x_(k)gel0,"is"

Total number of integral solutions of the system of equations x_(1)+x_(2)+x_(3)+x_(4)+x_(5)=20and x_(1)+x_(2)+x_(3)=5" when "x_(k)gel0,"is"

Find the number of non negative integral solutions of x_(1)+x_(2)+x_(3)+x_(4)le20

Find the number of non-negative intergral solutions of x_(1)+x_(2)+x_(3)+x_(4)=20 .