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不定方程x+y+z+w=7的正整数解的个数是多少个?

2025-03-15 03:53:22

推荐回答（3个）

回答1：

这题是典型的排列组合题目吧。如果没错的话，答案应该是20个解。

分析：这题可以这样想：相当于把7个一样的XX分成四份，没份至少一个。7个物体中间有6个空，插入三个隔板，就把这堆物体分成四份。答案：20

回答2：

插隔板法：C(3,6)=6*5*4/3/2=20个

回答3：

可以无限的。题目没说x≠y≠Z≠Y

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