What is the number of integer solutions to x+y+z=12x+y+z=12x+y+z=12 where 0≤x≤3,0≤y≤4,0≤z≤50 \le x \le 3, 0 \le y \le 4, 0 \le z \le 50≤x≤3,0≤y≤4,0≤z≤5?
111
222
333
444