论文部分内容阅读
计数中的分配与分组问题是排列组合中的一个重点与难点,也是组合中的典型问题。两者既有联系又有区别,在实际解答时容易混淆。下面就有关问题加以实例剖析。一、概念剖析n个不同元素按照某些条件分配给k(n,k∈N~*,n≥k≥2)个不同的对象,称为分配问题。分配问题可分为定向分配和不定向分配两种。n个不同元素按照某些条件分配给k(n,k∈N~*,n≥k≥2)组,称为分组问题。分组问题可分为
The distribution and grouping problem in the counting is one of the key points and difficulties in the arrangement and combination, which is also a typical problem in the combination. Both the existing and the difference between the two, easy to confuse the actual answer. The following questions on the case analysis. I. Conceptual Analysis n different elements are assigned to different objects of k (n, k∈N ~ *, n≥k≥2) under certain conditions, which are called assignment problems. Distribution problems can be divided into two kinds of directional distribution and non-directional distribution. n different elements are assigned to k (n, k∈N ~ *, n≥k≥2) groups under certain conditions, which are called grouping problems. Grouping problems can be divided into