Write this python This assignment is about exploring the validity of the solution to this question:

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

In class and in the book, we found out that the answer to this problem is equivalent to adding $9$ stars, $3$ for each variable. Thus, $C(21,2)=C(21,19)=210.$

Your goal is to investigate these two claims and find a final answer by doing the following:

Count the lines in the output file and discuss your findings.

Submit the code, your conclusions, and the file in MOER