Find the number of solutions of the equation x + y + z = 6, where x, y, z, `in` W.

Let N be the number of integral solution of the equation x+y+z+w=15" where " x ge 0, y gt 5, z ge 2 and w ge 1 . Find the unit digit of N.

Let N be the number of integral solution of the equation x+y+z+w=15" where " x ge 0, y gt 5, z ge 2 and w ge 1 . Find the unit digit of N.

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

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

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

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

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

Find number of negative integral solution of equation x + y + z = - 12

Find number of negative integral solution of equation x + y + z = - 12

Find number of negative integral solution of equation x + y + z = - 12