1 1. Cut the rope into small pieces in turn, and each time you cut it, it will become two pieces, the first time you cut two pieces, the second time you cut three pieces, and so on. After the tenth cutting, there will be 1 1 section, because each cutting will add a section, and there is only one section at the beginning, so a 2m rope cut 10 times just cuts 65438. When solving the combinatorial problem in mathematics, we must make clear the requirements and conditions of the topic, follow the idea of logical reasoning, and verify the correctness of the answer through various methods.