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102年 - 102 國立中山大學_碩士班招生考試_電機系(丙組)：離散數學#108985
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其他申論題
4.What is the Ferrers graph? Use it to explain the statement "The number of partitions of an integer n into m summands is equal to the number of partitions of n into summands where m is the largest summand". [10%]
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5. Use the generating function to find the number of integer solutions of the equationx1 +x2 +x3 +x4 =20, where -3 ≤ x1,-3 ≤ x2,-5 ≤ x3 ≤5, and 0≤x4.[15%]
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6. Find the number of colors needed to color the following map so that no two adjacent regions have the same color. [15%]
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7. d the number of permutation of the letters x, x, y, y, z, z so that no x appears in the firs positions, no y appears in the third position and no z appears in the fifth and sixth positions. [15%]
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