Let n and k be positive integers. Consider this equation: x1 C x2 C C xn D k: a. How

Chapter 0, Problem 19

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Let n and k be positive integers. Consider this equation: x1 C x2 C C xn D k: a. How many solutions are there if the variables xi must be nonnegative integers? b. How many solutions are there if the variables xi must be positive integers? c. How many solutions are there if the variables xi may only take the values 0 or 1?

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