"How many integer solutions are there to the equation x + y + z = 10 for which x, y and z are greater or equal than -3?"

We found out that the answer to this problem is equivalent to adding 9 stars, 3 for each variable. Thus, C(21,2) = C(21,19) = 210 . Some of you were puzzled by this approach because you correctly noticed that the worst-case scenario is x = - 3 , y = - 3 and z = 16 . This would suggest that we only need to add 6 stars and not 9.

Write a Java programming language that finds all possible solutions of the above problem and writes them into a comma-delimited file with one solution per line (e.g.,0,0,10) finding all the possible solutions. Please provide a code as well as a comma delimited file with all of the possible solutions.