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6. (15 pt., 5 pt. each) Given the equation x1 + x2 +x3 +x4 = 40, where x1, x2,x3, and x4 are integers. How many

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6. (15 pt., 5 pt. each) Given the equation x1 + x2 +x3 +x4 = 40, where x1, x2,x3, and x4 are integers. How many different solutions does this equation have if... a. ...all the variables must be nonnegative? b. ...all the variables must be positive? (3. ...x1 2 0, x2 2 1, X3 2 2, and X4. 2 3

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