The number of integral solutions of the equation `3x+3y+z=30,` where `x>=0,y>=0` and `z>=0` is

The number of integral solution ofthe equation 2x+2y+z=20. Where x>=0,y>=0 and z>=0 is 11k then value of k is:

The number of integral solutions of equation x+y+z+t=29, when x>=1,y>=2,z>=2,3 and t>=0 is

The number of solutions of the equation.3x+3y-z=5,x+y+z=3,2x+2y-z=3

The number of solutions of equations x+y-z=0,3x-y-z=0,x-3y+z=0 is

Find the number of integral solutions of x+y+z+y 2,y>1,z>=2,w>=0

The number of non-trivial solutions of the system x=y+z=0, x+2y-z=0, 2x+y+3z=0 , is

The number of non trivial solutions of the system x-y+2=0,x+2y-z=0,2x+y+3z=0

The number of solutions of the equation 3x-y-z=0 -3x+2y+z=0 -3x+z=0 such that x,y,z are non negative integers and x^(2)+y^(2)+z^(2)le81 is