容斥原理的应用相当广泛，不管是在各类学科领域中，还是在日常生活中，容斥

The principle of tolerance is widely used. Whether in various disciplines or in daily life, the principle of tolerance will be reflected in the corresponding places; especially in different disciplines, the principle of tolerance will play a role. Very important roles, such as probability theory, graph theory, discrete mathematics, and other disciplines, all have direct or indirect use of the principle of tolerance; therefore, this paper gives a study of the knowledge and related literature The proof and application of the principle of tolerance and exclusion are described.

The application of the principle of repulsion is quite extensive, whether in various disciplines, or in daily life, the principle of repulsion will be reflected in the corresponding places, especially in different subject areas, the principle of repulsion plays a very important role, such as probability theory, graph theory, discrete mathematics and other subject areas of research, there are places directly or indirectly used to the repulsing principle;

The principle of inclusion and exclusion is widely used. It will be reflected in the corresponding areas, no matter in various disciplines or in daily life. Especially in different disciplines, the principle of inclusion and exclusion plays an important role, such as probability theory, graph theory, discrete mathematics and other disciplines, which are used directly or indirectly Therefore, through the study of the learned knowledge and related literature, this paper gives the proof and application of the principle.<br>