1. The problem statement, all variables and given/known data Find the number of solutions to the equation 2x + 3y + 6z = 73 where x, y, and z are non-negative integers. 2. Relevant equations 3. The attempt at a solution I don't know what to do here, usually I'd like to make a binary sequence to find out the number of possibilities, but this time there are restrictions (because of the 2,3, and 6) so I don't know what to do? Am I supposed to make a generating function or something?? All I know is that x can be all even numbers from 0 to 70 y can be all multiples of 3 from 0 to 69 and z can be all multiple of 6 from 0 to 66 Any help would be GREAT!!!