Neco Model Questions Vol1 2025 Christian Religious Studies Question 28

In a theological discussion, three statements are considered:\n\(A\): "Justification is by faith alone."\n\(B\): "Genuine faith inevitably produces good works."\n\(C\): "Good works can exist without genuine faith."\nThe following constraints are imposed based on Scripture:\n1. If \(A\) is true then \(B\) must be true. ( \(A \rightarrow B\) )\n2. If a person can be saved without works then \(A\) is true. (Let \(D\) denote "A person can be saved without works"; the constraint is \(D \rightarrow A\). )\n3. Statement \(C\) is false.\nAssuming each of the statements \(A\), \(B\) and \(D\) can independently be either true or false before the constraints are applied, how many distinct truth‑assignments to \(A\), \(B\) and \(D\) satisfy all the constraints?