限位排列计数中，随着限制数目的增多，直接处理，愈显困难．若用归纳思维，借助于数学归纳方法，设计成从少限入手，逐渐增加限制的形式，可化难为易．下面以两类典型问题为例，展示构造归纳方法解决限位排列计数问题时的推、猜、证的过程．问题１ｍ个人站成一排，其中某... In the limit arrangement count, with the increase of the limit number, direct processing becomes more difficult. If we use inductive thinking and use the mathematical induction method, we should start with a small number of restrictions and gradually increase the form of restrictions. In the following, two typical problems are taken as examples to illustrate the process of pushing, guessing, and verifying when constructing induction methods to solve the problem of limiting the array count. Question 1m individuals stand in a row, one of which...