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一、问题呈现将2个相同的白球,3个相同的红球,4个相同的黑球全部放入A,B,C三个盒子中,则无空盒子的放法种数为().(A)723(B)865(C)900(D)1204这是一道2013年浙江省高考数学仿真试卷中的选择压轴题,关于它的解法,在网络上引起热议,如果按平常的分类方法求解,往往使人感到非常繁琐.本文通过探求,对此类问题提出合理的通法.
First, the question presents two identical white balls, three identical red balls, and four identical black balls all in the three boxes A, B, and C. Then, the number of places for which there is no empty box is (). (A) 723 (B) 865 (C) 900 (D) 1204 This is a question of choice in the simulation test of the Zhejiang Provincial College Entrance Examination Mathematics in 2013. Regarding its solution, it caused hot debates on the Internet. The method is often used to make people feel very tedious. This paper proposes a reasonable approach to this type of problem.