Final answer:
The formula (M&Z)v~(M&Z) falls into the category of a Disjunction (Option B), as it's structured around the disjunction symbol 'v', joining the conjunction (M&Z) and its negation ~(M&Z).
Step-by-step explanation:
The formula given is (M&Z)v~(M&Z). This formula represents a logical expression involving the operations of conjunction (&), disjunction (v), and negation (~). To identify which category the entire formula falls into, we need to examine its structure. The formula has a v symbol in the middle, indicating that it is composed of two parts joined by a disjunction. Thus, the parts (M&Z) and ~(M&Z) are the disjuncts of this logical expression.
Because the dominant operator (the one that connects the major parts of the formula) is the disjunction symbol v, the entire formula falls into the category of a Disjunction (Option B). Additionally, this kind of expression is known as a tautology because the disjunction of a statement and its negation is always true.