Counting Possible Solutions for Linear Equations

[jemma]

Hi, I wondered if anyone can help. I have some linear equations in which I've found various possible solutions to the variables using NSolve function. For example, for x1, x2, x3 and x4, it has given me ~14 different possible combinations for each x. Is it possible to do a count so if the equations were run in a loop 1000 times, how often would a particular combination be reached?

 

[Dale]

I think that is the purpose of Sow and Reap, but I have never actually used them myself.