Consider the following propositions :
P : It rains ,q : Then street gets flooded.
the propostion " If it does not rain, then the street not get flooded," is represented by

Options

A. ` p to ~ q`
B. ` ~ p to q `
C. `p harrq`
D. ` ~ p to ~ q`

Explanation

To solve the problem, we need to analyze the given propositions and the statement we want to represent symbolically.

1. **Identify the Propositions**:
- Let \( P \): It rains.
- Let \( Q \): The street gets flooded.

2. **Understanding the Statement**:
- The statement we need to represent is: "If it does not rain, then the street does not get flooded."
- This can be broken down into its components:
- "It does not rain" is the negation of \( P \), which we denote as \( \neg P \).
- "The street does not get flooded" is the negation of \( Q \), which we denote as \( \neg Q \).

3. **Formulating the Conditional Statement**:
- The statement "If it does not rain, then the street does not get flooded" can be expressed in logical terms as:
\[ \neg P \rightarrow \neg Q \]
- Here, \( \rightarrow \) is the conditional operator, indicating "if... then...".

4. **Conclusion**:
- Therefore, the proposition "If it does not rain, then the street does not get flooded" is represented by \( \neg P \rightarrow \neg Q \).

### Final Answer:
The proposition is represented by \( \neg P \rightarrow \neg Q \).

---