Final answer:
The question is related to set theory in mathematics, dealing with elements in sets A, B, C, their intersection B cap C, and the universal set S. Set theory principles and Venn diagrams can be used to analyze and solve problems based on the provided data.
Step-by-step explanation:
Understanding Set Theory
The question involves the concept of set theory, which is a branch of mathematical logic that studies sets, which are collections of objects. We are given the number of elements in sets A, B, C, their intersections, and the universal set S. The notations n(A), n(B), and n(C) represent the number of elements in sets A, B, and C respectively, while n(B cap C) signifies the number of elements that are common to sets B and C. Lastly, n(S) denotes the total number of elements in the universal set S.
We can analyze the given information to understand the relationship between the sets and their intersections. If any further calculations or conclusions are required based on the given data, such as finding the number of elements in the union of sets or the number of elements belonging exclusively to one set, set theory formulas and Venn diagrams can be utilized to visualize and solve the problem.