👉 Enrollment math is a branch of mathematics that deals with the study of sets and their cardinalities, particularly focusing on finite sets. It provides a systematic way to count and compare the sizes of these sets using various operations such as union, intersection, and difference. A fundamental concept in enrollment math is the notion of cardinality, which represents the number of elements in a set. Key principles include the addition rule for disjoint sets (the cardinality of their union is the sum of their individual cardinalities), the multiplication rule for sets with a common element (the cardinality of the intersection is less than or equal to the product of the cardinalities of the individual sets), and the formula for the cardinality of the union of two disjoint sets (n1 + n2 - n1n2). Enrollment math also introduces the idea of bijections, which are one-to-one correspondences between sets that establish an equivalence in size. Understanding these principles is crucial for solving problems in combinatorics, probability, and various areas of discrete mathematics.
