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I want to solve this problem with generating function :

How many solutions(non-negative) possible for the equation $${2x}+{3y}+{7z}={r}$$$(r \ge0)$ such that :

1)$x,y,z \ge0$

2)$0 \le z\le 2 \le y \le 8 \le x$

  • 0
    If $r$ is given (and $x,y,z$ are unknowns that comprise the solution), you should explain that in the question. The answer "how many solutions" then depends on $r$, right?2012-12-27
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    Also, you explicitly state that the variables are supposed to take integer values, otherwise the question becomes quite boring...2012-12-27
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    I edited question.2012-12-27

2 Answers 2