The `C_((5))^frownA_5` condition is found in the floral formula or family

Options

A. Liliaceae
B. Poaceae
C. Fabaceae
D. Solanaceae

Answer

To solve the question regarding the floral formula condition `C_((5))^frownA_5`, we will analyze the components of the floral formula and identify the family it belongs to.

### Step-by-Step Solution:

1. **Identify the Components of the Floral Formula**:
- The formula `C_((5))^frownA_5` consists of:
- `C` which stands for the calyx.
- `C_((5))` indicates that there are 5 sepals.
- `A_5` indicates that there are 5 stamens (androecium).

2. **Understand the Meaning of the Brackets**:
- The brackets around the `5` in `C_((5))` indicate that the sepals are fused. This condition is known as "gamosepalous".
- The `A_5` indicates that there are 5 separate stamens.

3. **Determine the Floral Characteristics**:
- The presence of fused sepals and separate stamens is a characteristic feature of certain plant families.
- The `frown` symbol indicates that the flower is bisexual.

4. **Identify the Possible Families**:
- The question provides four options: Liliaceae, Poaceae, Fabaceae, and Solanaceae.
- Based on the floral formula characteristics, we need to identify which family matches the description of having 5 fused sepals and 5 separate stamens.

5. **Match with Known Families**:
- **Liliaceae**: Typically has free sepals and petals.
- **Poaceae**: Grass family, usually has different floral structures.
- **Fabaceae**: Often has a different arrangement of petals and stamens.
- **Solanaceae**: Known for having 5 fused petals (gemopetallous) and 5 stamens.

6. **Conclusion**:
- The floral formula `C_((5))^frownA_5` corresponds to the family **Solanaceae**.

### Final Answer:
The `C_((5))^frownA_5` condition is found in the floral formula of the family **Solanaceae**.