If `b=3,c=4,a n dB=pi/3,` then find the number of triangles that can be constructed.

Explanation

To determine the number of triangles that can be constructed with the given values \( b = 3 \), \( c = 4 \), and \( B = \frac{\pi}{3} \), we will use the Law of Sines and analyze the situation step by step.

### Step-by-Step Solution:

1. **Identify Given Values**:
- \( b = 3 \)
- \( c = 4 \)
- \( B = \frac{\pi}{3} \)
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