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九三年全国高中数学联合竞赛第一试中有一个题:“集合A、B的并集视为不同的对,则这样的(A,B)对的个数有多少个.”现将此题推广为;N)的集合A、B的组(A,B)的个数.解:对集合A中的元素个数进行分类,A中元素个数可以是n个,当A中元素个数为k个时,集合B中元素至少要包
In the first trial of the National High School Mathematics Contest in 1993, there was a question: “The union of sets A and B is treated as different pairs. How many such (A, B) pairs are there?” The problem is generalized as the number of groups (A, B) of set A and B of N). Solution: Classify the number of elements in the set A. The number of elements in the A can be n. When the number of elements in the A is k, the elements in the set B must be at least packaged.