Write 'T' for True and 'F' for False.
`(p vv q) ^^ r` is a dual of `(p vv q) vv r`.

Answer

To determine whether the statement `(p ∨ q) ∧ r` is a dual of `(p ∨ q) ∨ r`, we will follow the rules of duality in mathematical reasoning.

### Step-by-Step Solution:

1. **Identify the Original Statements**:
- The first statement is `(p ∨ q) ∧ r`.
- The second statement is `(p ∨ q) ∨ r`.

2. **Understand the Concept of Duality**:
- In duality, the symbols of disjunction (∨) and conjunction (∧) are interchanged.
- Specifically, every disjunction becomes a conjunction and vice versa.

3. **Find the Dual of the First Statement**:
- The dual of `(p ∨ q) ∧ r` is obtained by replacing the conjunction (∧) with disjunction (∨):
- Dual: `(p ∨ q) ∨ r`.

4. **Compare the Dual with the Second Statement**:
- The dual we found is `(p ∨ q) ∨ r`, which is exactly the same as the second statement `(p ∨ q) ∨ r`.

5. **Conclusion**:
- Since both statements are equal, we conclude that `(p ∨ q) ∧ r` is indeed a dual of `(p ∨ q) ∨ r`. Therefore, the statement is **True**.

### Final Answer:
- The truth value of the statement is **T** (True).