Find the number of positive integral solutions of the inequality `3x+y+zlt=30.`

Find the number of positive integral solutions of the equation x+y+z=12.

The number of positive integral solutions of the equation xyz = 30 is

Find the number of positive integral solutions of x y z=21600.

The number of positive integral solutions of the equation x + y + z = 100 is

Find the number of non-negative integral solutions of the equation x+y+z=10.

Find the number of positive integral solutions satisfying the equation (x_1+x_2+x_3)(y_1+y_2)=77.

Find the number of positive integral solution of the equation tan^(-1)x+cos^(-1)y/(sqrt(1-y^2))=sin^(-1)3/(sqrt(10))

Find the number of positive integral solution of the equation tan^(-1)x+cos^(-1)(y/(sqrt(1+y^2)))=sin^(-1)(3/(sqrt(10)))

Solution set of the inequality x ge 0 is

Find the number of non-negative integral solutions of x+y+z+wlt=20.