If `AsubB` and `AsupC`, then `AnnBnnC` = _________

Answer

To solve the problem, we need to find the intersection of the sets A, B, and C, given that \( A \subset B \) and \( C \subset A \).

### Step-by-Step Solution:

1. **Understanding the Relationships**:
- We know that \( A \subset B \). This means all elements of set A are also in set B.
- We also know that \( C \subset A \). This means all elements of set C are also in set A.

2. **Visualizing with Venn Diagrams**:
- Draw a Venn diagram with three circles representing sets A, B, and C.
- Circle A should be entirely within circle B because \( A \subset B \).
- Circle C should be entirely within circle A because \( C \subset A \).

3. **Identifying the Intersection**:
- The intersection of sets A, B, and C, denoted as \( A \cap B \cap C \), consists of elements that are common to all three sets.
- Since all elements of C are in A and all elements of A are in B, the elements of C will also be in B.

4. **Conclusion**:
- Therefore, the intersection \( A \cap B \cap C \) is simply the set C itself, as it is the only set that is common to all three sets.
- Thus, \( A \cap B \cap C = C \).

### Final Answer:
\( A \cap B \cap C = C \)