The number of solutions to `x+y+z=10`, where `1le x, y, z le 6` and `x, y, z in N`, is equal to

If the number of solutions of the equation x+y+z=20, where 1 le x lt y lt z and x, y, z in I is k, then (k)/(10) is equal to

If the number of solutions of the equation x+y+z=20, where 1 le x lt y lt z and x, y, z in I is k, then (k)/(10) is equal to

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

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

The number of solutions of the equation x + y + z = 10 in positive integers x , y , z, is equal to -

The number of solutions of the equation x+y+z =10 in positive integers x,y,z is equal to

For an LPP, minimise Z = 2x + y subject to constraint 5x+10y le 50 , x +y ge 1,y le 4 and x,y ge 0 then Z is equal to

The number of integral solutions of the inequation x+y+z le 100, (x ge 2, y ge 3, z ge 4) , is