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有些排列组合问题直接求解时往往较为困难,若能认真理解题意,抽象出其中的数量关系,通过构建数学模型来求解,则可简捷、巧妙的解决,同
It is often difficult to directly solve some permutations and combinations. If we can understand the meaning of the questions carefully and abstract the quantitative relationships among them, we can solve them simply by constructing a mathematical model.