Final answer:
To find C ⋂ A' ⋂ B, we search for students who play an instrument, are not math majors, and are enrolled in calculus. A Venn diagram would help in visualizing these set relationships, but specific numbers are not provided to draw an exact diagram.
Step-by-step explanation:
The question involves finding the intersection of sets in a logic class context. Specifically, it asks for the students who are in the set C (students who play an instrument) and the complement of set A (non-math majors, denoted as A') and in set B (current calculus students). To find C ⋂ A' ⋂ B, we are looking for students who satisfy all three conditions: playing an instrument, not being a math major, and currently studying calculus.
A Venn diagram is a useful tool for visualizing these kinds of set relationships. Although the question does not provide specific numbers, it is similar to the provided examples where Venn diagrams are used to represent the relationships between different sets. Consequently, in constructing such a diagram for the provided sets, overlapping and non-overlapping regions would represent the various intersections and unions of these categories (C, A', and B).
Two sets are mutually exclusive if they have no elements in common, which the question illustrates with an example where A and C are mutually exclusive. However, since we do not have information that B and A are mutually exclusive, we should proceed with the assumption that they are not mutually exclusive until proven otherwise.