Mathematics, 25.06.2019 17:50 almadimas16
About in the following question, we will count distinct integer solutions to the equation x1 + x2 + x3 + x4 = 35. (a) how many solutions are there if all the variables must be non-negative? (b) how many solutions are there if all the variables must be positive? (c) how many solutions are there if x1 β₯ 2, x2 β₯ 4, x3 β₯ 0, and x4 β₯ 0? (d) how many solutions are there to the equation x1 + x2 + x3 + x4 β€ 35 in which all the xi are non-negative? (hint: add an extra variable y such that y is non-negative and x1 + x2 + x3 + x4 + y = 35.)
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About in the following question, we will count distinct integer solutions to the equation x1 + x2 +...
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